100434656124 has 72 divisors (see below), whose sum is σ = 277078641840. Its totient is φ = 30421286400.

The previous prime is 100434656107. The next prime is 100434656177. The reversal of 100434656124 is 421656434001.

100434656124 is a `hidden beast` number, since 1 + 0 + 0 + 4 + 34 + 6 + 5 + 612 + 4 = 666.

It is a super-2 number, since 2×100434656124² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 859444 + ... + 969284.

It is an arithmetic number, because the mean of its divisors is an integer number (3848314470).

Almost surely, 2^100434656124 is an apocalyptic number.

It is an amenable number.

100434656124 is an abundant number, since it is smaller than the sum of its proper divisors (176643985716).

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

100434656124 is a wasteful number, since it uses less digits than its factorization.

100434656124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112171 (or 112166 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 100434656124 in words is "one hundred billion, four hundred thirty-four million, six hundred fifty-six thousand, one hundred twenty-four".