104050112400 has 360 divisors, whose sum is σ = 399374724840. Its totient is φ = 24919695360.

The previous prime is 104050112389. The next prime is 104050112407. The reversal of 104050112400 is 4211050401.

104050112400 is a `hidden beast` number, since 1 + 0 + 40 + 501 + 124 + 0 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 2092513536 + 101957598864 = 45744^2 + 319308^2 .

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 (18).

It is not an unprimeable number, because it can be changed into a prime (104050112407) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1701556 + ... + 1761644.

Almost surely, 2^104050112400 is an apocalyptic number.

104050112400 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 104050112400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199687362420).

104050112400 is an abundant number, since it is smaller than the sum of its proper divisors (295324612440).

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

104050112400 is a wasteful number, since it uses less digits than its factorization.

104050112400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60163 (or 60149 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

Adding to 104050112400 its reverse (4211050401), we get a palindrome (108261162801).

The spelling of 104050112400 in words is "one hundred four billion, fifty million, one hundred twelve thousand, four hundred".