100077624957 has 16 divisors (see below), whose sum is σ = 133982372160. Its totient is φ = 66445750272.

The previous prime is 100077624953. The next prime is 100077624967. The reversal of 100077624957 is 759426770001.

It is a happy number.

It is not a de Polignac number, because 100077624957 - 2² = 100077624953 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100077624953) 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 15 ways as a sum of consecutive naturals, for example, 5402403 + ... + 5420895.

It is an arithmetic number, because the mean of its divisors is an integer number (8373898260).

Almost surely, 2^100077624957 is an apocalyptic number.

It is an amenable number.

100077624957 is a deficient number, since it is larger than the sum of its proper divisors (33904747203).

100077624957 is a wasteful number, since it uses less digits than its factorization.

100077624957 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25772.

The product of its (nonzero) digits is 740880, while the sum is 48.

The spelling of 100077624957 in words is "one hundred billion, seventy-seven million, six hundred twenty-four thousand, nine hundred fifty-seven".