104322400 has 144 divisors (see below), whose sum is σ = 313667424. Its totient is φ = 32993280.

The previous prime is 104322397. The next prime is 104322431. The reversal of 104322400 is 4223401.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 72084 + ... + 73516.

It is an arithmetic number, because the mean of its divisors is an integer number (2178246).

Almost surely, 2^104322400 is an apocalyptic number.

104322400 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 104322400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156833712).

104322400 is an abundant number, since it is smaller than the sum of its proper divisors (209345024).

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

104322400 is a wasteful number, since it uses less digits than its factorization.

104322400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1473 (or 1460 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 104322400 is about 10213.8337562347. The cubic root of 104322400 is about 470.7523787687.

Adding to 104322400 its reverse (4223401), we get a palindrome (108545801).

The spelling of 104322400 in words is "one hundred four million, three hundred twenty-two thousand, four hundred".