105888 (number)
105,888 (one hundred five thousand eight hundred eightyeight) is an even sixdigits composite number following 105887 and preceding 105889. In scientific notation, it is written as 1.05888 × 10^{5}. The sum of its digits is 30. It has a total of 7 prime factors and 24 positive divisors. There are 35,264 positive integers (up to 105888) that are relatively prime to 105888.
Basic properties
 Is Prime? No
 Number parity Even
 Number length 6
 Sum of Digits 30
 Digital Root 3
Name
Short name  105 thousand 888 

Full name  one hundred five thousand eight hundred eightyeight 
Notation
Scientific notation  1.05888 × 10^{5} 

Engineering notation  105.888 × 10^{3} 
Prime Factorization of 105888
Prime Factorization 2^{5} × 3 × 1103
Composite numberω(n)  Distinct Factors  3  Total number of distinct prime factors 

Ω(n)  Total Factors  7  Total number of prime factors 
rad(n)  Radical  6618  Product of the distinct prime numbers 
λ(n)  Liouville Lambda  1  Returns the parity of Ω(n), such that λ(n) = (1)^{Ω(n)} 
μ(n)  Mobius Mu  0  Returns:

Λ(n)  Mangoldt function  0  Returns log(p) if n is a power p^{k} of any prime p (for any k >= 1), else returns 0 
The prime factorization of 105,888 is 2^{5} × 3 × 1103. Since it has a total of 7 prime factors, 105,888 is a composite number.
Divisors of 105888
24 divisors
τ(n)  Total Divisors  24  Total number of the positive divisors of n 

σ(n)  Sum of Divisors  278208  Sum of all the positive divisors of n 
s(n)  Aliquot Sum  172320  Sum of the proper positive divisors of n 
A(n)  Arithmetic Mean  11592  Returns the sum of divisors (σ(n)) divided by the total number of divisors (τ(n)) 
G(n)  Geometric Mean  325.4043638306  Returns the nth root of the product of n divisors 
H(n)  Harmonic Mean  9.1345755693582  Returns the total number of divisors (τ(n)) divided by the sum of the reciprocal of each divisors 
The number 105,888 can be divided by 24 positive divisors (out of which 20 are even, and 4 are odd). The sum of these divisors (counting 105,888) is 278,208, the average is 11,592.
Other Arithmetic Functions (n = 105888)
φ(n)  Euler Totient  35264  Total number of positive integers not greater than n that are coprime to n 

λ(n)  Carmichael Lambda  8816  Smallest positive number such that a^{λ(n)} ≡ 1 (mod n) for all a coprime to n 
π(n)  Prime Pi  ≈ 10072  Total number of primes less than or equal to n 
r_{2}(n)  Sum of 2 squares  0  The number of ways n can be represented as the sum of 2 squares 
There are 35,264 positive integers (less than 105,888) that are coprime with 105,888. And there are approximately 10,072 prime numbers less than or equal to 105,888.
Divisibility of 105888
m  2  3  4  5  6  7  8  9 

n mod m  0  0  0  3  0  6  0  3 
The number 105,888 is divisible by 2, 3, 4, 6 and 8.
Classification of 105888
By Arithmetic functions
 Arithmetic
 Refactorable
 Abundant
Expressible via specific sums
 Polite
 Nonhypotenuse
Base conversion (105888)
Base  System  Value 

2  Binary  11001110110100000 
3  Ternary  12101020210 
4  Quaternary  121312200 
5  Quinary  11342023 
6  Senary  2134120 
8  Octal  316640 
10  Decimal  105888 
12  Duodecimal  51340 
16  Hexadecimal  19da0 
20  Vigesimal  d4e8 
36  Base36  29pc 
Basic calculations (n = 105888)
Multiplication
n×yn×2  211776 

n×3  317664 
n×4  423552 
n×5  529440 
Division
n÷yn÷2  52944.000 

n÷3  35296.000 
n÷4  26472.000 
n÷5  21177.600 
Exponentiation
n^{y}n^{2}  11212268544 

n^{3}  1187244691587072 
n^{4}  125714965902771879936 
n^{5}  13311706309512708822663168 
Nth Root
^{y}√n^{2}√n  325.4043638306 

^{3}√n  47.309560678102 
^{4}√n  18.038967925871 
^{5}√n  10.115080632292 
105888 as geometric shapes
Circle
Radius = nDiameter  211776 

Circumference  665313.92580663 
Area  35224380487.906 
Sphere
Radius = nVolume  4.9731189348046E+15 

Surface area  140897521951.63 
Circumference  665313.92580663 
Square
Length = nPerimeter  423552 

Area  11212268544 
Diagonal  149748.24569256 
Cube
Length = nSurface area  67273611264 

Volume  1187244691587072 
Space diagonal  183403.39591185 
Equilateral Triangle
Length = nPerimeter  317664 

Area  4855054696.5786 
Altitude  91701.697955927 
Triangular Pyramid
Length = nSurface area  19420218786.314 

Volume  1.3991812872482E+14 
Height  86457.189961275 
Cryptographic Hash Functions
md5  da04762eb0c15088e2a13703d0e15388 

sha1  321af16df33fa4a911e59e7ced0ca218077a29a1 
sha256  6611f1295f6fda35cef4dc4408836b43fd23c3817ed05895969c24f7a5fa1451 
sha512  2d5371cffc095af7d3ed5198f0ed5284374b24dbc444412df655c1a292bae44c6d77e45b77f11a09df31c3b18faa4fbb70343fe51f4973a2cf21da91a213b5f5 
ripemd160  e7f1c193e86138110fdc84890b6b49788bc85c0b 