100556128816 has 80 divisors (see below), whose sum is σ = 231460498080. Its totient is φ = 41717237760.

The previous prime is 100556128801. The next prime is 100556128819. The reversal of 100556128816 is 618821655001.

It is a super-2 number, since 2×100556128816² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (100556128819) 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 15 ways as a sum of consecutive naturals, for example, 43275 + ... + 450538.

It is an arithmetic number, because the mean of its divisors is an integer number (2893256226).

Almost surely, 2^100556128816 is an apocalyptic number.

100556128816 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

100556128816 is an abundant number, since it is smaller than the sum of its proper divisors (130904369264).

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

100556128816 is a wasteful number, since it uses less digits than its factorization.

100556128816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 493934 (or 493928 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 43.

The spelling of 100556128816 in words is "one hundred billion, five hundred fifty-six million, one hundred twenty-eight thousand, eight hundred sixteen".