102927052800 has 1404 divisors, whose sum is σ = 442541644272. Its totient is φ = 22708224000.

The previous prime is 102927052799. The next prime is 102927052849. The reversal of 102927052800 is 8250729201.

102927052800 is a `hidden beast` number, since 102 + 9 + 27 + 0 + 528 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 1449676765 + ... + 1449676835.

Almost surely, 2^102927052800 is an apocalyptic number.

102927052800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102927052800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221270822136).

102927052800 is an abundant number, since it is smaller than the sum of its proper divisors (339614591472).

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

102927052800 is a wasteful number, since it uses less digits than its factorization.

102927052800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The spelling of 102927052800 in words is "one hundred two billion, nine hundred twenty-seven million, fifty-two thousand, eight hundred".