100918368 has 36 divisors (see below), whose sum is σ = 286987428. Its totient is φ = 33639360.

The previous prime is 100918333. The next prime is 100918373. The reversal of 100918368 is 863819001.

It is a tau number, because it is divible by the number of its divisors (36).

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 5 ways as a sum of consecutive naturals, for example, 174918 + ... + 175493.

It is an arithmetic number, because the mean of its divisors is an integer number (7971873).

Almost surely, 2^100918368 is an apocalyptic number.

100918368 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

100918368 is an abundant number, since it is smaller than the sum of its proper divisors (186069060).

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

100918368 is a wasteful number, since it uses less digits than its factorization.

100918368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 350427 (or 350416 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 100918368 is about 10045.8134563608. The cubic root of 100918368 is about 465.5754512866.

The spelling of 100918368 in words is "one hundred million, nine hundred eighteen thousand, three hundred sixty-eight".