102500477172 has 72 divisors (see below), whose sum is σ = 260668410912. Its totient is φ = 33960225600.

The previous prime is 102500477159. The next prime is 102500477213. The reversal of 102500477172 is 271774005201.

102500477172 is a `hidden beast` number, since 10 + 2 + 5 + 0 + 0 + 477 + 172 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 6045547 + ... + 6062477.

It is an arithmetic number, because the mean of its divisors is an integer number (3620394596).

Almost surely, 2^102500477172 is an apocalyptic number.

102500477172 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

102500477172 is an abundant number, since it is smaller than the sum of its proper divisors (158167933740).

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

102500477172 is a wasteful number, since it uses less digits than its factorization.

102500477172 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17949 (or 17944 counting only the distinct ones).

The product of its (nonzero) digits is 27440, while the sum is 36.

The spelling of 102500477172 in words is "one hundred two billion, five hundred million, four hundred seventy-seven thousand, one hundred seventy-two".