100057077124 has 27 divisors (see below), whose sum is σ = 176842920261. Its totient is φ = 49535398800.

The previous prime is 100057077103. The next prime is 100057077139. The reversal of 100057077124 is 421770750001.

The square root of 100057077124 is 316318.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 69739302724 + 30317774400 = 264082^2 + 174120^2 .

It is a super-2 number, since 2×100057077124² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 100057077124.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 68956599 + ... + 68958049.

Almost surely, 2^100057077124 is an apocalyptic number.

100057077124 is the 316318-th square number.

It is an amenable number.

100057077124 is a deficient number, since it is larger than the sum of its proper divisors (76785843137).

100057077124 is an frugal number, since it uses more digits than its factorization.

100057077124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3124 (or 1562 counting only the distinct ones).

The product of its (nonzero) digits is 13720, while the sum is 34.

The spelling of 100057077124 in words is "one hundred billion, fifty-seven million, seventy-seven thousand, one hundred twenty-four".