90145300 has 54 divisors (see below), whose sum is σ = 227564862. Its totient is φ = 30905280.

The previous prime is 90145277. The next prime is 90145309. The reversal of 90145300 is 354109.

It can be written as a sum of positive squares in 3 ways, for example, as 19820304 + 70324996 = 4452^2 + 8386^2 .

It is a super-2 number, since 2×90145300² = 16252350224180000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90145309) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 4299 + ... + 14098.

Almost surely, 2^90145300 is an apocalyptic number.

It is an amenable number.

90145300 is an abundant number, since it is smaller than the sum of its proper divisors (137419562).

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

90145300 is a wasteful number, since it uses less digits than its factorization.

90145300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18425 (or 18411 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 22.

The square root of 90145300 is about 9494.4878745512. The cubic root of 90145300 is about 448.3815109555.

Adding to 90145300 its reverse (354109), we get a palindrome (90499409).

The spelling of 90145300 in words is "ninety million, one hundred forty-five thousand, three hundred".