104321552400 has 360 divisors, whose sum is σ = 404317455360. Its totient is φ = 25678840320.

The previous prime is 104321552393. The next prime is 104321552417. The reversal of 104321552400 is 4255123401.

104321552400 is a `hidden beast` number, since 1 + 0 + 43 + 215 + 5 + 2 + 400 = 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 (27).

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, 1222321 + ... + 1304879.

Almost surely, 2^104321552400 is an apocalyptic number.

104321552400 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 104321552400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202158727680).

104321552400 is an abundant number, since it is smaller than the sum of its proper divisors (299995902960).

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

104321552400 is a wasteful number, since it uses less digits than its factorization.

104321552400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82605 (or 82582 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

Adding to 104321552400 its reverse (4255123401), we get a palindrome (108576675801).

The spelling of 104321552400 in words is "one hundred four billion, three hundred twenty-one million, five hundred fifty-two thousand, four hundred".