102057599102976 has 780 divisors, whose sum is σ = 354825999901296. Its totient is φ = 29107142000640.

The previous prime is 102057599102971. The next prime is 102057599103017. The reversal of 102057599102976 is 679201995750201.

102057599102976 is a `hidden beast` number, since 1 + 0 + 2 + 0 + 5 + 7 + 599 + 10 + 29 + 7 + 6 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102057599102971) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 682388461 + ... + 682538003.

Almost surely, 2^{102057599102976} is an apocalyptic number.

102057599102976 is a gapful number since it is divisible by the number (16) 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 102057599102976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177412999950648).

102057599102976 is an abundant number, since it is smaller than the sum of its proper divisors (252768400798320).

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

102057599102976 is a wasteful number, since it uses less digits than its factorization.

102057599102976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149618 (or 149576 counting only the distinct ones).

The product of its (nonzero) digits is 21432600, while the sum is 63.

The spelling of 102057599102976 in words is "one hundred two trillion, fifty-seven billion, five hundred ninety-nine million, one hundred two thousand, nine hundred seventy-six".