100077557832 has 128 divisors (see below), whose sum is σ = 317959200000. Its totient is φ = 28570848768.

The previous prime is 100077557819. The next prime is 100077557843. The reversal of 100077557832 is 238755770001.

100077557832 is a `hidden beast` number, since 1 + 0 + 0 + 0 + 7 + 75 + 578 + 3 + 2 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1923294 + ... + 1974642.

It is an arithmetic number, because the mean of its divisors is an integer number (2484056250).

Almost surely, 2^100077557832 is an apocalyptic number.

100077557832 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 100077557832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158979600000).

100077557832 is an abundant number, since it is smaller than the sum of its proper divisors (217881642168).

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

100077557832 is a wasteful number, since it uses less digits than its factorization.

100077557832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52660 (or 52650 counting only the distinct ones).

The product of its (nonzero) digits is 411600, while the sum is 45.

The spelling of 100077557832 in words is "one hundred billion, seventy-seven million, five hundred fifty-seven thousand, eight hundred thirty-two".