100100055160 has 128 divisors (see below), whose sum is σ = 272771452800. Its totient is φ = 32328253440.

The previous prime is 100100055157. The next prime is 100100055193. The reversal of 100100055160 is 61550001001.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 182584 + ... + 483256.

It is an arithmetic number, because the mean of its divisors is an integer number (2131026975).

Almost surely, 2^100100055160 is an apocalyptic number.

100100055160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100100055160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136385726400).

100100055160 is an abundant number, since it is smaller than the sum of its proper divisors (172671397640).

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

100100055160 is a wasteful number, since it uses less digits than its factorization.

100100055160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300761 (or 300757 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 19.

Adding to 100100055160 its reverse (61550001001), we get a palindrome (161650056161).

The spelling of 100100055160 in words is "one hundred billion, one hundred million, fifty-five thousand, one hundred sixty".