102355465337172 has 240 divisors, whose sum is σ = 305164250677440. Its totient is φ = 29713961991168.

The previous prime is 102355465337131. The next prime is 102355465337227. The reversal of 102355465337172 is 271733564553201.

It is a happy number.

102355465337172 is a `hidden beast` number, since 1 + 0 + 2 + 3 + 5 + 5 + 465 + 3 + 3 + 7 + 172 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 6872703 + ... + 15872774.

It is an arithmetic number, because the mean of its divisors is an integer number (1271517711156).

Almost surely, 2^{102355465337172} is an apocalyptic number.

102355465337172 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

102355465337172 is an abundant number, since it is smaller than the sum of its proper divisors (202808785340268).

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

102355465337172 is a wasteful number, since it uses less digits than its factorization.

102355465337172 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22745572 (or 22745561 counting only the distinct ones).

The product of its (nonzero) digits is 15876000, while the sum is 54.

The spelling of 102355465337172 in words is "one hundred two trillion, three hundred fifty-five billion, four hundred sixty-five million, three hundred thirty-seven thousand, one hundred seventy-two".