900107998830 has 320 divisors, whose sum is σ = 2515218241536. Its totient is φ = 230807232000.

The previous prime is 900107998753. The next prime is 900107998859. The reversal of 900107998830 is 38899701009.

900107998830 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 926990245 + ... + 926991215.

Almost surely, 2^900107998830 is an apocalyptic number.

900107998830 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 900107998830, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1257609120768).

900107998830 is an abundant number, since it is smaller than the sum of its proper divisors (1615110242706).

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

900107998830 is a wasteful number, since it uses less digits than its factorization.

900107998830 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1405 (or 1396 counting only the distinct ones).

The product of its (nonzero) digits is 979776, while the sum is 54.

It can be divided in two parts, 9001079 and 98830, that added together give a palindrome (9099909).

The spelling of 900107998830 in words is "nine hundred billion, one hundred seven million, nine hundred ninety-eight thousand, eight hundred thirty".