100157077244736 has 672 divisors, whose sum is σ = 314841288528000. Its totient is φ = 30320715350016.

The previous prime is 100157077244723. The next prime is 100157077244743. The reversal of 100157077244736 is 637442770751001.

100157077244736 is a `hidden beast` number, since 1 + 0 + 0 + 1 + 570 + 7 + 7 + 24 + 47 + 3 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 62093661466 + ... + 62093663078.

Almost surely, 2^{100157077244736} is an apocalyptic number.

100157077244736 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 100157077244736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157420644264000).

100157077244736 is an abundant number, since it is smaller than the sum of its proper divisors (214684211283264).

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

100157077244736 is a wasteful number, since it uses less digits than its factorization.

100157077244736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2951 (or 2938 counting only the distinct ones).

The product of its (nonzero) digits is 6914880, while the sum is 54.

The spelling of 100157077244736 in words is "one hundred trillion, one hundred fifty-seven billion, seventy-seven million, two hundred forty-four thousand, seven hundred thirty-six".