102755931955200 has 672 divisors, whose sum is σ = 399716690958720. Its totient is φ = 25789700505600.

The previous prime is 102755931955177. The next prime is 102755931955219. The reversal of 102755931955200 is 2559139557201.

102755931955200 is a `hidden beast` number, since 1 + 0 + 2 + 7 + 5 + 59 + 31 + 9 + 552 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 93456645 + ... + 94549755.

Almost surely, 2^{102755931955200} is an apocalyptic number.

102755931955200 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 102755931955200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199858345479360).

102755931955200 is an abundant number, since it is smaller than the sum of its proper divisors (296960759003520).

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

102755931955200 is a wasteful number, since it uses less digits than its factorization.

102755931955200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1093173 (or 1093138 counting only the distinct ones).

The product of its (nonzero) digits is 4252500, while the sum is 54.

The spelling of 102755931955200 in words is "one hundred two trillion, seven hundred fifty-five billion, nine hundred thirty-one million, nine hundred fifty-five thousand, two hundred".