100642172553 has 12 divisors (see below), whose sum is σ = 156554490820. Its totient is φ = 61933644576.

The previous prime is 100642172509. The next prime is 100642172629. The reversal of 100642172553 is 355271246001.

100642172553 is a `hidden beast` number, since 1 + 0 + 0 + 642 + 1 + 7 + 2 + 5 + 5 + 3 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 12363660864 + 88278511689 = 111192^2 + 297117^2 .

It is not a de Polignac number, because 100642172553 - 2¹² = 100642168457 is a prime.

It is not an unprimeable number, because it can be changed into a prime (100642174553) 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 11 ways as a sum of consecutive naturals, for example, 430094638 + ... + 430094871.

Almost surely, 2^100642172553 is an apocalyptic number.

100642172553 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

100642172553 is a deficient number, since it is larger than the sum of its proper divisors (55912318267).

100642172553 is a wasteful number, since it uses less digits than its factorization.

100642172553 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 860189528 (or 860189525 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The spelling of 100642172553 in words is "one hundred billion, six hundred forty-two million, one hundred seventy-two thousand, five hundred fifty-three".