100555968800 has 144 divisors (see below), whose sum is σ = 290225799360. Its totient is φ = 33287439360.

The previous prime is 100555968797. The next prime is 100555968811. The reversal of 100555968800 is 8869555001.

It is a super-2 number, since 2×100555968800² (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 23 ways as a sum of consecutive naturals, for example, 147194 + ... + 471993.

It is an arithmetic number, because the mean of its divisors is an integer number (2015456940).

Almost surely, 2^100555968800 is an apocalyptic number.

100555968800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100555968800 is an abundant number, since it is smaller than the sum of its proper divisors (189669830560).

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

100555968800 is a wasteful number, since it uses less digits than its factorization.

100555968800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 619243 (or 619230 counting only the distinct ones).

The product of its (nonzero) digits is 432000, while the sum is 47.

The spelling of 100555968800 in words is "one hundred billion, five hundred fifty-five million, nine hundred sixty-eight thousand, eight hundred".