102180316631184 has 135 divisors (see below), whose sum is σ = 314327037985779. Its totient is φ = 30963327975360.

The previous prime is 102180316631153. The next prime is 102180316631231. The reversal of 102180316631184 is 481136613081201.

The square root of 102180316631184 is 10108428.

It is a perfect power (a square), and thus also a powerful number.

102180316631184 is a `hidden beast` number, since 1 + 0 + 2 + 1 + 8 + 0 + 3 + 1 + 6 + 631 + 1 + 8 + 4 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1334274207 + ... + 1334350785.

Almost surely, 2^{102180316631184} is an apocalyptic number.

102180316631184 is the 10108428-th square number.

It is an amenable number.

102180316631184 is an abundant number, since it is smaller than the sum of its proper divisors (212146721354595).

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

102180316631184 is an frugal number, since it uses more digits than its factorization.

102180316631184 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153194 (or 76595 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The spelling of 102180316631184 in words is "one hundred two trillion, one hundred eighty billion, three hundred sixteen million, six hundred thirty-one thousand, one hundred eighty-four".