900109056 has 288 divisors, whose sum is σ = 3089350656. Its totient is φ = 225792000.

The previous prime is 900109033. The next prime is 900109109. The reversal of 900109056 is 650901009.

It is a super-2 number, since 2×900109056² = 1620392625386422272, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1832971 + ... + 1833461.

It is an arithmetic number, because the mean of its divisors is an integer number (10726912).

Almost surely, 2^900109056 is an apocalyptic number.

900109056 is a gapful number since it is divisible by the number (96) 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 900109056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1544675328).

900109056 is an abundant number, since it is smaller than the sum of its proper divisors (2189241600).

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

900109056 is a wasteful number, since it uses less digits than its factorization.

900109056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 559 (or 545 counting only the distinct ones).

The product of its (nonzero) digits is 2430, while the sum is 30.

The square root of 900109056 is about 30001.8175449422. The cubic root of 900109056 is about 965.5283802196.

The spelling of 900109056 in words is "nine hundred million, one hundred nine thousand, fifty-six".