100474676960 has 96 divisors (see below), whose sum is σ = 271471979520. Its totient is φ = 34424289792.

The previous prime is 100474676947. The next prime is 100474676971. The reversal of 100474676960 is 69676474001.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 100474676899 and 100474676908.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1603337 + ... + 1664823.

It is an arithmetic number, because the mean of its divisors is an integer number (2827833120).

Almost surely, 2^100474676960 is an apocalyptic number.

100474676960 is a gapful number since it is divisible by the number (10) 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 100474676960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135735989760).

100474676960 is an abundant number, since it is smaller than the sum of its proper divisors (170997302560).

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

100474676960 is a wasteful number, since it uses less digits than its factorization.

100474676960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62968 (or 62960 counting only the distinct ones).

The product of its (nonzero) digits is 1524096, while the sum is 50.

The spelling of 100474676960 in words is "one hundred billion, four hundred seventy-four million, six hundred seventy-six thousand, nine hundred sixty".