100557407167568 has 40 divisors (see below), whose sum is σ = 209831473504296. Its totient is φ = 46407886848000.

The previous prime is 100557407167561. The next prime is 100557407167627. The reversal of 100557407167568 is 865761704755001.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 39431467184704 + 61125939982864 = 6279448^2 + 7818308^2 .

It is a super-2 number, since 2×100557407167568² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 100557407167568.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100557407167561) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13789853 + ... + 19780668.

Almost surely, 2^{100557407167568} is an apocalyptic number.

It is an amenable number.

100557407167568 is an abundant number, since it is smaller than the sum of its proper divisors (109274066336728).

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

100557407167568 is a wasteful number, since it uses less digits than its factorization.

100557407167568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33584943 (or 33584937 counting only the distinct ones).

The product of its (nonzero) digits is 49392000, while the sum is 62.

The spelling of 100557407167568 in words is "one hundred trillion, five hundred fifty-seven billion, four hundred seven million, one hundred sixty-seven thousand, five hundred sixty-eight".