100459976400 has 540 divisors, whose sum is σ = 418647026304. Its totient is φ = 22220352000.

The previous prime is 100459976371. The next prime is 100459976417. The reversal of 100459976400 is 4679954001.

100459976400 is a `hidden beast` number, since 10 + 0 + 4 + 599 + 7 + 6 + 40 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 107 ways as a sum of consecutive naturals, for example, 5459215 + ... + 5477585.

Almost surely, 2^100459976400 is an apocalyptic number.

100459976400 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 100459976400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209323513152).

100459976400 is an abundant number, since it is smaller than the sum of its proper divisors (318187049904).

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

100459976400 is a wasteful number, since it uses less digits than its factorization.

100459976400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18440 (or 18419 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 100459976400 in words is "one hundred billion, four hundred fifty-nine million, nine hundred seventy-six thousand, four hundred".