102164615424 has 81 divisors (see below), whose sum is σ = 294610015063. Its totient is φ = 34049757696.

The previous prime is 102164615419. The next prime is 102164615503. The reversal of 102164615424 is 424516461201.

The square root of 102164615424 is 319632.

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

102164615424 is a `hidden beast` number, since 1 + 0 + 2 + 1 + 646 + 1 + 5 + 4 + 2 + 4 = 666.

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

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 15339007 + ... + 15345665.

Almost surely, 2^102164615424 is an apocalyptic number.

102164615424 is the 319632-nd square number.

It is an amenable number.

102164615424 is an abundant number, since it is smaller than the sum of its proper divisors (192445399639).

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

102164615424 is an frugal number, since it uses more digits than its factorization.

102164615424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13340 (or 6664 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

Multiplying 102164615424 by its sum of digits (36), we get a square (3677926155264 = 1917792²).

102164615424 divided by its sum of digits (36) gives a square (2837905984 = 53272²).

The spelling of 102164615424 in words is "one hundred two billion, one hundred sixty-four million, six hundred fifteen thousand, four hundred twenty-four".