100396657872 has 100 divisors (see below), whose sum is σ = 332088093216. Its totient is φ = 28684756800.

The previous prime is 100396657853. The next prime is 100396657873. The reversal of 100396657872 is 278756693001.

100396657872 is a `hidden beast` number, since 1 + 0 + 0 + 3 + 9 + 66 + 578 + 7 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100396657873) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 5524254 + ... + 5542397.

Almost surely, 2^100396657872 is an apocalyptic number.

100396657872 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100396657872 is an abundant number, since it is smaller than the sum of its proper divisors (231691435344).

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

100396657872 is a wasteful number, since it uses less digits than its factorization.

100396657872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11066678 (or 11066663 counting only the distinct ones).

The product of its (nonzero) digits is 3810240, while the sum is 54.

The spelling of 100396657872 in words is "one hundred billion, three hundred ninety-six million, six hundred fifty-seven thousand, eight hundred seventy-two".