102114574325772 has 48 divisors (see below), whose sum is σ = 245637443073792. Its totient is φ = 32992315416000.

The previous prime is 102114574325767. The next prime is 102114574325789. The reversal of 102114574325772 is 277523475411201.

102114574325772 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×102114574325772² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 437122354 + ... + 437355897.

It is an arithmetic number, because the mean of its divisors is an integer number (5117446730704).

Almost surely, 2^{102114574325772} is an apocalyptic number.

102114574325772 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

102114574325772 is an abundant number, since it is smaller than the sum of its proper divisors (143522868748020).

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

102114574325772 is a wasteful number, since it uses less digits than its factorization.

102114574325772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 874478558 (or 874478556 counting only the distinct ones).

The product of its (nonzero) digits is 3292800, while the sum is 51.

The spelling of 102114574325772 in words is "one hundred two trillion, one hundred fourteen billion, five hundred seventy-four million, three hundred twenty-five thousand, seven hundred seventy-two".