900107310960 has 960 divisors, whose sum is σ = 3813721906176. Its totient is φ = 186878361600.

The previous prime is 900107310953. The next prime is 900107310997. The reversal of 900107310960 is 69013701009.

It is a super-2 number, since 2×900107310960² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 124269099 + ... + 124276341.

Almost surely, 2^900107310960 is an apocalyptic number.

900107310960 is a gapful number since it is divisible by the number (90) 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 900107310960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1906860953088).

900107310960 is an abundant number, since it is smaller than the sum of its proper divisors (2913614595216).

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

900107310960 is a wasteful number, since it uses less digits than its factorization.

900107310960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7374 (or 7365 counting only the distinct ones).

The product of its (nonzero) digits is 10206, while the sum is 36.

The spelling of 900107310960 in words is "nine hundred billion, one hundred seven million, three hundred ten thousand, nine hundred sixty".