900090019104 has 144 divisors (see below), whose sum is σ = 2517115104000. Its totient is φ = 281569038336.

The previous prime is 900090019093. The next prime is 900090019139. The reversal of 900090019104 is 401910090009.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9636177 + ... + 9729135.

It is an arithmetic number, because the mean of its divisors is an integer number (17479966000).

Almost surely, 2^900090019104 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 900090019104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1258557552000).

900090019104 is an abundant number, since it is smaller than the sum of its proper divisors (1617025084896).

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

900090019104 is a wasteful number, since it uses less digits than its factorization.

900090019104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93355 (or 93330 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 33.

The spelling of 900090019104 in words is "nine hundred billion, ninety million, nineteen thousand, one hundred four".