102596103088800 has 144 divisors (see below), whose sum is σ = 341055641791872. Its totient is φ = 26776855244800.

The previous prime is 102596103088783. The next prime is 102596103088859. The reversal of 102596103088800 is 8880301695201.

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, 454657161 + ... + 454882760.

It is an arithmetic number, because the mean of its divisors is an integer number (2368441956888).

Almost surely, 2^{102596103088800} is an apocalyptic number.

102596103088800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102596103088800 is an abundant number, since it is smaller than the sum of its proper divisors (238459538703072).

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

102596103088800 is a wasteful number, since it uses less digits than its factorization.

102596103088800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 909539991 (or 909539978 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 51.

The spelling of 102596103088800 in words is "one hundred two trillion, five hundred ninety-six billion, one hundred three million, eighty-eight thousand, eight hundred".