100460448400 has 60 divisors (see below), whose sum is σ = 259922104372. Its totient is φ = 37093086720.

The previous prime is 100460448391. The next prime is 100460448419. The reversal of 100460448400 is 4844064001.

It can be written as a sum of positive squares in 6 ways, for example, as 8830736784 + 91629711616 = 93972^2 + 302704^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9654459 + ... + 9664858.

Almost surely, 2^100460448400 is an apocalyptic number.

100460448400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100460448400 is an abundant number, since it is smaller than the sum of its proper divisors (159461655972).

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

100460448400 is a wasteful number, since it uses less digits than its factorization.

100460448400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19319348 (or 19319337 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 31.

The spelling of 100460448400 in words is "one hundred billion, four hundred sixty million, four hundred forty-eight thousand, four hundred".