100053860400 has 720 divisors, whose sum is σ = 402042330144. Its totient is φ = 22821765120.

The previous prime is 100053860321. The next prime is 100053860441. The reversal of 100053860400 is 4068350001.

100053860400 is a `hidden beast` number, since 1 + 0 + 0 + 0 + 53 + 8 + 604 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 53304262 + ... + 53306138.

Almost surely, 2^100053860400 is an apocalyptic number.

100053860400 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 100053860400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201021165072).

100053860400 is an abundant number, since it is smaller than the sum of its proper divisors (301988469744).

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

100053860400 is a wasteful number, since it uses less digits than its factorization.

100053860400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1998 (or 1984 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The spelling of 100053860400 in words is "one hundred billion, fifty-three million, eight hundred sixty thousand, four hundred".