100729726188 has 96 divisors (see below), whose sum is σ = 289373145600. Its totient is φ = 26557079040.

The previous prime is 100729726133. The next prime is 100729726193. The reversal of 100729726188 is 881627927001.

It is a super-2 number, since 2×100729726188² (a number of 23 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 100729726188.

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 31 ways as a sum of consecutive naturals, for example, 3588528 + ... + 3616488.

It is an arithmetic number, because the mean of its divisors is an integer number (3014303600).

Almost surely, 2^100729726188 is an apocalyptic number.

It is an amenable number.

100729726188 is an abundant number, since it is smaller than the sum of its proper divisors (188643419412).

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

100729726188 is a wasteful number, since it uses less digits than its factorization.

100729726188 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31287 (or 31285 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 51.

The spelling of 100729726188 in words is "one hundred billion, seven hundred twenty-nine million, seven hundred twenty-six thousand, one hundred eighty-eight".