90945104 has 40 divisors (see below), whose sum is σ = 187441128. Its totient is φ = 42598400.

The previous prime is 90945091. The next prime is 90945119. The reversal of 90945104 is 40154909.

It can be written as a sum of positive squares in 4 ways, for example, as 20720704 + 70224400 = 4552^2 + 8380^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 69254 + ... + 70554.

Almost surely, 2^90945104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90945104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93720564).

90945104 is an abundant number, since it is smaller than the sum of its proper divisors (96496024).

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

90945104 is a wasteful number, since it uses less digits than its factorization.

90945104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1583 (or 1577 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 32.

The square root of 90945104 is about 9536.5142478790. The cubic root of 90945104 is about 449.7036798163.

The spelling of 90945104 in words is "ninety million, nine hundred forty-five thousand, one hundred four".