100908864 has 168 divisors, whose sum is σ = 342351360. Its totient is φ = 27804672.

The previous prime is 100908793. The next prime is 100908883. The reversal of 100908864 is 468809001.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (168).

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 23 ways as a sum of consecutive naturals, for example, 116497 + ... + 117359.

Almost surely, 2^100908864 is an apocalyptic number.

100908864 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 100908864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171175680).

100908864 is an abundant number, since it is smaller than the sum of its proper divisors (241442496).

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

100908864 is a wasteful number, since it uses less digits than its factorization.

100908864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 917 (or 904 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 100908864 is about 10045.3404123504. The cubic root of 100908864 is about 465.5608356188.

The spelling of 100908864 in words is "one hundred million, nine hundred eight thousand, eight hundred sixty-four".