90015300 has 90 divisors (see below), whose sum is σ = 291820298. Its totient is φ = 24001920.

The previous prime is 90015281. The next prime is 90015311. The reversal of 90015300 is 351009.

90015300 = T₂₆₇₁ + T₂₆₇₂ + ... + T₂₆₉₅.

It can be written as a sum of positive squares in 3 ways, for example, as 1052676 + 88962624 = 1026^2 + 9432^2 .

It is a tau number, because it is divible by the number of its divisors (90).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 2544 + ... + 13656.

Almost surely, 2^90015300 is an apocalyptic number.

90015300 is a gapful number since it is divisible by the number (90) 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 90015300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145910149).

90015300 is an abundant number, since it is smaller than the sum of its proper divisors (201804998).

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

90015300 is a wasteful number, since it uses less digits than its factorization.

90015300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11139 (or 11123 counting only the distinct ones).

The product of its (nonzero) digits is 135, while the sum is 18.

The square root of 90015300 is about 9487.6393270402. The cubic root of 90015300 is about 448.1658678437.

Adding to 90015300 its reverse (351009), we get a palindrome (90366309).

The spelling of 90015300 in words is "ninety million, fifteen thousand, three hundred".