100055519872 has 256 divisors, whose sum is σ = 266499072000. Its totient is φ = 36220354560.

The previous prime is 100055519849. The next prime is 100055519881. The reversal of 100055519872 is 278915550001.

It is a super-2 number, since 2×100055519872² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13232829 + ... + 13240387.

It is an arithmetic number, because the mean of its divisors is an integer number (1041012000).

Almost surely, 2^100055519872 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100055519872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133249536000).

100055519872 is an abundant number, since it is smaller than the sum of its proper divisors (166443552128).

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

100055519872 is a wasteful number, since it uses less digits than its factorization.

100055519872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7687 (or 7675 counting only the distinct ones).

The product of its (nonzero) digits is 126000, while the sum is 43.

The spelling of 100055519872 in words is "one hundred billion, fifty-five million, five hundred nineteen thousand, eight hundred seventy-two".