102107572008 has 64 divisors (see below), whose sum is σ = 274936569600. Its totient is φ = 31414106880.

The previous prime is 102107571997. The next prime is 102107572009. The reversal of 102107572008 is 800275701201.

It is a super-2 number, since 2×102107572008² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 102107572008.

It is not an unprimeable number, because it can be changed into a prime (102107572009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4265898 + ... + 4289766.

It is an arithmetic number, because the mean of its divisors is an integer number (4295883900).

Almost surely, 2^102107572008 is an apocalyptic number.

It is an amenable number.

102107572008 is an abundant number, since it is smaller than the sum of its proper divisors (172828997592).

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

102107572008 is a wasteful number, since it uses less digits than its factorization.

102107572008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37602 (or 37598 counting only the distinct ones).

The product of its (nonzero) digits is 7840, while the sum is 33.

The spelling of 102107572008 in words is "one hundred two billion, one hundred seven million, five hundred seventy-two thousand, eight".