90107082 has 72 divisors (see below), whose sum is σ = 222674400. Its totient is φ = 26249184.

The previous prime is 90107081. The next prime is 90107093. The reversal of 90107082 is 28070109.

It is not an unprimeable number, because it can be changed into a prime (90107081) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 57019 + ... + 58577.

It is an arithmetic number, because the mean of its divisors is an integer number (3092700).

Almost surely, 2^90107082 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90107082, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111337200).

90107082 is an abundant number, since it is smaller than the sum of its proper divisors (132567318).

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

90107082 is a wasteful number, since it uses less digits than its factorization.

90107082 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1612 (or 1596 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The square root of 90107082 is about 9492.4750197196. The cubic root of 90107082 is about 448.3181367258.

The spelling of 90107082 in words is "ninety million, one hundred seven thousand, eighty-two".