104414400 has 168 divisors, whose sum is σ = 380786640. Its totient is φ = 27832320.

The previous prime is 104414393. The next prime is 104414423. The reversal of 104414400 is 4414401.

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 41992 + ... + 44408.

Almost surely, 2^104414400 is an apocalyptic number.

104414400 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 104414400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190393320).

104414400 is an abundant number, since it is smaller than the sum of its proper divisors (276372240).

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

104414400 is a wasteful number, since it uses less digits than its factorization.

104414400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2448 (or 2427 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 104414400 is about 10218.3364595222. The cubic root of 104414400 is about 470.8907207224.

Adding to 104414400 its reverse (4414401), we get a palindrome (108828801).

Subtracting from 104414400 its reverse (4414401), we obtain a palindrome (99999999).

It can be divided in two parts, 10441 and 4400, that added together give a palindrome (14841).

The spelling of 104414400 in words is "one hundred four million, four hundred fourteen thousand, four hundred".