Base | Representation |
---|---|
bin | 1100100111101… |
… | …00010000111100 |
3 | 21101012011000200 |
4 | 12103310100330 |
5 | 204044424413 |
6 | 14300523500 |
7 | 2423531136 |
oct | 623642074 |
9 | 241164020 |
10 | 105858108 |
11 | 54832844 |
12 | 2b550590 |
13 | 18c15045 |
14 | 100b8056 |
15 | 9460573 |
hex | 64f443c |
105858108 has 36 divisors (see below), whose sum is σ = 268243248. Its totient is φ = 35199360.
The previous prime is 105858107. The next prime is 105858157. The reversal of 105858108 is 801858501.
It is a tau number, because it is divible by the number of its divisors (36).
It is a super-2 number, since 2×1058581082 = 22411878058679328, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (105858107) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12193 + ... + 18983.
Almost surely, 2105858108 is an apocalyptic number.
105858108 is a gapful number since it is divisible by the number (18) formed by its first and last digit.
It is an amenable number.
105858108 is an abundant number, since it is smaller than the sum of its proper divisors (162385140).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
105858108 is a wasteful number, since it uses less digits than its factorization.
105858108 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 7234 (or 7229 counting only the distinct ones).
The product of its (nonzero) digits is 12800, while the sum is 36.
The square root of 105858108 is about 10288.7369487221. The cubic root of 105858108 is about 473.0510845663.
The spelling of 105858108 in words is "one hundred five million, eight hundred fifty-eight thousand, one hundred eight".
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