100113884864 has 112 divisors (see below), whose sum is σ = 234863274240. Its totient is φ = 41445043200.

The previous prime is 100113884863. The next prime is 100113884921. The reversal of 100113884864 is 468488311001.

It is a tau number, because it is divible by the number of its divisors (112).

It is not an unprimeable number, because it can be changed into a prime (100113884863) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2282339 + ... + 2325789.

It is an arithmetic number, because the mean of its divisors is an integer number (2096993520).

Almost surely, 2^100113884864 is an apocalyptic number.

100113884864 is a gapful number since it is divisible by the number (14) 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 100113884864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117431637120).

100113884864 is an abundant number, since it is smaller than the sum of its proper divisors (134749389376).

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

100113884864 is a wasteful number, since it uses less digits than its factorization.

100113884864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43646 (or 43636 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 44.

The spelling of 100113884864 in words is "one hundred billion, one hundred thirteen million, eight hundred eighty-four thousand, eight hundred sixty-four".