100318816116 has 192 divisors, whose sum is σ = 267622037760. Its totient is φ = 32487505920.

The previous prime is 100318816097. The next prime is 100318816141. The reversal of 100318816116 is 611618813001.

100318816116 is a `hidden beast` number, since 1 + 0 + 0 + 31 + 8 + 8 + 1 + 611 + 6 = 666.

100318816116 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 326771235 + ... + 326771541.

It is an arithmetic number, because the mean of its divisors is an integer number (1393864780).

Almost surely, 2^100318816116 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100318816116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133811018880).

100318816116 is an abundant number, since it is smaller than the sum of its proper divisors (167303221644).

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

100318816116 is a wasteful number, since it uses less digits than its factorization.

100318816116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 831 (or 823 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 36.

The spelling of 100318816116 in words is "one hundred billion, three hundred eighteen million, eight hundred sixteen thousand, one hundred sixteen".