100135864257 has 32 divisors (see below), whose sum is σ = 157357527936. Its totient is φ = 55841011200.

The previous prime is 100135864061. The next prime is 100135864261. The reversal of 100135864257 is 752468531001.

It is a happy number.

It is a de Polignac number, because none of the positive numbers 2^k-100135864257 is a prime.

It is not an unprimeable number, because it can be changed into a prime (100135864357) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 238594 + ... + 507147.

It is an arithmetic number, because the mean of its divisors is an integer number (4917422748).

Almost surely, 2^100135864257 is an apocalyptic number.

It is an amenable number.

100135864257 is a deficient number, since it is larger than the sum of its proper divisors (57221663679).

100135864257 is a wasteful number, since it uses less digits than its factorization.

100135864257 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 746081.

The product of its (nonzero) digits is 201600, while the sum is 42.

The spelling of 100135864257 in words is "one hundred billion, one hundred thirty-five million, eight hundred sixty-four thousand, two hundred fifty-seven".