100059964416 has 176 divisors, whose sum is σ = 297676377600. Its totient is φ = 33201709056.

The previous prime is 100059964399. The next prime is 100059964427. The reversal of 100059964416 is 614469950001.

It is a happy number.

100059964416 is a `hidden beast` number, since 1 + 0 + 0 + 0 + 599 + 6 + 44 + 16 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6157390 + ... + 6173618.

Almost surely, 2^100059964416 is an apocalyptic number.

100059964416 is a gapful number since it is divisible by the number (16) 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 100059964416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148838188800).

100059964416 is an abundant number, since it is smaller than the sum of its proper divisors (197616413184).

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

100059964416 is a wasteful number, since it uses less digits than its factorization.

100059964416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16481 (or 16457 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The spelling of 100059964416 in words is "one hundred billion, fifty-nine million, nine hundred sixty-four thousand, four hundred sixteen".