90032107 has 24 divisors (see below), whose sum is σ = 102558960. Its totient is φ = 78936000.

The previous prime is 90032093. The next prime is 90032149. The reversal of 90032107 is 70123009.

It is a de Polignac number, because none of the positive numbers 2^k-90032107 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (90032707) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 647644 + ... + 647782.

It is an arithmetic number, because the mean of its divisors is an integer number (4273290).

Almost surely, 2^90032107 is an apocalyptic number.

90032107 is a deficient number, since it is larger than the sum of its proper divisors (12526853).

90032107 is a wasteful number, since it uses less digits than its factorization.

90032107 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 315 (or 304 counting only the distinct ones).

The product of its (nonzero) digits is 378, while the sum is 22.

The square root of 90032107 is about 9488.5250170930. The cubic root of 90032107 is about 448.1937588615.

The spelling of 90032107 in words is "ninety million, thirty-two thousand, one hundred seven".