102657241107792 has 60 divisors (see below), whose sum is σ = 328340223546400. Its totient is φ = 29330640316224.

The previous prime is 102657241107781. The next prime is 102657241107797. The reversal of 102657241107792 is 297701142756201.

It is a happy number.

102657241107792 is a `hidden beast` number, since 1 + 0 + 2 + 6 + 5 + 72 + 411 + 0 + 77 + 92 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102657241107797) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 50921249542 + ... + 50921251557.

Almost surely, 2^{102657241107792} is an apocalyptic number.

102657241107792 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

102657241107792 is an abundant number, since it is smaller than the sum of its proper divisors (225682982438608).

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

102657241107792 is a wasteful number, since it uses less digits than its factorization.

102657241107792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101842501120 (or 101842501111 counting only the distinct ones).

The product of its (nonzero) digits is 2963520, while the sum is 54.

The spelling of 102657241107792 in words is "one hundred two trillion, six hundred fifty-seven billion, two hundred forty-one million, one hundred seven thousand, seven hundred ninety-two".