900103818880 has 512 divisors, whose sum is σ = 2677081881600. Its totient is φ = 282779320320.

The previous prime is 900103818869. The next prime is 900103818907. The reversal of 900103818880 is 88818301009.

It is a self number, because there is not a number n which added to its sum of digits gives 900103818880.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 197086357 + ... + 197090923.

It is an arithmetic number, because the mean of its divisors is an integer number (5228675550).

Almost surely, 2^900103818880 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 900103818880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1338540940800).

900103818880 is an abundant number, since it is smaller than the sum of its proper divisors (1776978062720).

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

900103818880 is a wasteful number, since it uses less digits than its factorization.

900103818880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4700 (or 4688 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 46.

The spelling of 900103818880 in words is "nine hundred billion, one hundred three million, eight hundred eighteen thousand, eight hundred eighty".