102764096400 has 120 divisors (see below), whose sum is σ = 376214494144. Its totient is φ = 23488934400.

The previous prime is 102764096389. The next prime is 102764096419. The reversal of 102764096400 is 4690467201.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6108511 + ... + 6125310.

Almost surely, 2^102764096400 is an apocalyptic number.

102764096400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102764096400 is an abundant number, since it is smaller than the sum of its proper divisors (273450397744).

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

102764096400 is a wasteful number, since it uses less digits than its factorization.

102764096400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12233849 (or 12233838 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 39.

The spelling of 102764096400 in words is "one hundred two billion, seven hundred sixty-four million, ninety-six thousand, four hundred".