100907136 has 96 divisors (see below), whose sum is σ = 316807920. Its totient is φ = 30574080.

The previous prime is 100907113. The next prime is 100907137. The reversal of 100907136 is 631709001.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (100907137) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8691 + ... + 16653.

Almost surely, 2^100907136 is an apocalyptic number.

100907136 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 100907136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158403960).

100907136 is an abundant number, since it is smaller than the sum of its proper divisors (215900784).

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

100907136 is a wasteful number, since it uses less digits than its factorization.

100907136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7994 (or 7979 counting only the distinct ones).

The product of its (nonzero) digits is 1134, while the sum is 27.

The square root of 100907136 is about 10045.2544019552. The cubic root of 100907136 is about 465.5581781261.

The spelling of 100907136 in words is "one hundred million, nine hundred seven thousand, one hundred thirty-six".