102768032347200 has 252 divisors, whose sum is σ = 398467475126448. Its totient is φ = 24913462348800.

The previous prime is 102768032347111. The next prime is 102768032347213. The reversal of 102768032347200 is 2743230867201.

102768032347200 is a `hidden beast` number, since 1 + 0 + 2 + 7 + 6 + 80 + 323 + 47 + 200 = 666.

It is a super-2 number, since 2×102768032347200² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 324235642 + ... + 324552441.

Almost surely, 2^{102768032347200} is an apocalyptic number.

102768032347200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102768032347200 is an abundant number, since it is smaller than the sum of its proper divisors (295699442779248).

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

102768032347200 is a wasteful number, since it uses less digits than its factorization.

102768032347200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 648788122 (or 648788104 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 45.

The spelling of 102768032347200 in words is "one hundred two trillion, seven hundred sixty-eight billion, thirty-two million, three hundred forty-seven thousand, two hundred".