104593460400 has 360 divisors, whose sum is σ = 426426467376. Its totient is φ = 23405414400.

The previous prime is 104593460393. The next prime is 104593460453. The reversal of 104593460400 is 4064395401.

104593460400 is a `hidden beast` number, since 1 + 0 + 4 + 593 + 4 + 60 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 413214 + ... + 616386.

Almost surely, 2^104593460400 is an apocalyptic number.

104593460400 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 104593460400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213213233688).

104593460400 is an abundant number, since it is smaller than the sum of its proper divisors (321833006976).

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

104593460400 is a wasteful number, since it uses less digits than its factorization.

104593460400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 203221 (or 203207 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 104593460400 in words is "one hundred four billion, five hundred ninety-three million, four hundred sixty thousand, four hundred".