102057964632 has 256 divisors, whose sum is σ = 315679795200. Its totient is φ = 30731094144.

The previous prime is 102057964627. The next prime is 102057964643. The reversal of 102057964632 is 236469750201.

102057964632 is a `hidden beast` number, since 1 + 0 + 2 + 0 + 5 + 7 + 9 + 6 + 4 + 632 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10685283 + ... + 10694829.

It is an arithmetic number, because the mean of its divisors is an integer number (1233124200).

Almost surely, 2^102057964632 is an apocalyptic number.

102057964632 is a gapful number since it is divisible by the number (12) 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 102057964632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157839897600).

102057964632 is an abundant number, since it is smaller than the sum of its proper divisors (213621830568).

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

102057964632 is an equidigital number, since it uses as much as digits as its factorization.

102057964632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9634 (or 9612 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 102057964632 in words is "one hundred two billion, fifty-seven million, nine hundred sixty-four thousand, six hundred thirty-two".