90006938900 has 18 divisors (see below), whose sum is σ = 195315057630. Its totient is φ = 36002775520.

The previous prime is 90006938881. The next prime is 90006938971. The reversal of 90006938900 is 983960009.

It can be written as a sum of positive squares in 3 ways, for example, as 2276053264 + 87730885636 = 47708^2 + 296194^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 450034595 + ... + 450034794.

It is an arithmetic number, because the mean of its divisors is an integer number (10850836535).

Almost surely, 2^90006938900 is an apocalyptic number.

It is an amenable number.

90006938900 is an abundant number, since it is smaller than the sum of its proper divisors (105308118730).

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

90006938900 is a wasteful number, since it uses less digits than its factorization.

90006938900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 900069403 (or 900069396 counting only the distinct ones).

The product of its (nonzero) digits is 104976, while the sum is 44.

The spelling of 90006938900 in words is "ninety billion, six million, nine hundred thirty-eight thousand, nine hundred".