104400103200 has 288 divisors, whose sum is σ = 346505947200. Its totient is φ = 27297054720.

The previous prime is 104400103189. The next prime is 104400103261. The reversal of 104400103200 is 2301004401.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 104400103200.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 31359136 + ... + 31362464.

It is an arithmetic number, because the mean of its divisors is an integer number (1203145650).

Almost surely, 2^104400103200 is an apocalyptic number.

104400103200 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 104400103200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173252973600).

104400103200 is an abundant number, since it is smaller than the sum of its proper divisors (242105844000).

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

104400103200 is a wasteful number, since it uses less digits than its factorization.

104400103200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3604 (or 3591 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 104400103200 its reverse (2301004401), we get a palindrome (106701107601).

The spelling of 104400103200 in words is "one hundred four billion, four hundred million, one hundred three thousand, two hundred".