102316097680164 has 243 divisors, whose sum is σ = 272607400598169. Its totient is φ = 32355507018240.

The previous prime is 102316097680133. The next prime is 102316097680187. The reversal of 102316097680164 is 461086790613201.

The square root of 102316097680164 is 10115142.

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

102316097680164 is a `hidden beast` number, since 1 + 0 + 2 + 316 + 0 + 97 + 6 + 80 + 164 = 666.

102316097680164 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 13 ways, for example, as 100806620062500 + 1509477617664 = 10040250^2 + 1228608^2 .

It is a super-2 number, since 2×102316097680164² (a number of 29 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 102316097680164.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 107362116712 + ... + 107362117664.

Almost surely, 2^{102316097680164} is an apocalyptic number.

102316097680164 is the 10115142-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102316097680164

102316097680164 is an abundant number, since it is smaller than the sum of its proper divisors (170291302918005).

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

102316097680164 is an frugal number, since it uses more digits than its factorization.

102316097680164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2096 (or 1048 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The spelling of 102316097680164 in words is "one hundred two trillion, three hundred sixteen billion, ninety-seven million, six hundred eighty thousand, one hundred sixty-four".