105858672900 has 144 divisors (see below), whose sum is σ = 332805365760. Its totient is φ = 25880515200.

The previous prime is 105858672889. The next prime is 105858672917. The reversal of 105858672900 is 9276858501.

It is a super-2 number, since 2×105858672900² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 122844 + ... + 476243.

Almost surely, 2^105858672900 is an apocalyptic number.

105858672900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105858672900 is an abundant number, since it is smaller than the sum of its proper divisors (226946692860).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

105858672900 is a wasteful number, since it uses less digits than its factorization.

105858672900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 599154 (or 599147 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 51.

The spelling of 105858672900 in words is "one hundred five billion, eight hundred fifty-eight million, six hundred seventy-two thousand, nine hundred".