90107136 has 216 divisors, whose sum is σ = 306959744. Its totient is φ = 24883200.

The previous prime is 90107119. The next prime is 90107153. The reversal of 90107136 is 63170109.

It is an interprime number because it is at equal distance from previous prime (90107119) and next prime (90107153).

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 596661 + ... + 596811.

Almost surely, 2^90107136 is an apocalyptic number.

90107136 is a gapful number since it is divisible by the number (96) 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 90107136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153479872).

90107136 is an abundant number, since it is smaller than the sum of its proper divisors (216852608).

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

90107136 is a wasteful number, since it uses less digits than its factorization.

90107136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217 (or 200 counting only the distinct ones).

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

The square root of 90107136 is about 9492.4778640774. The cubic root of 90107136 is about 448.3182262829.

The spelling of 90107136 in words is "ninety million, one hundred seven thousand, one hundred thirty-six".