104214400 has 96 divisors (see below), whose sum is σ = 266556600. Its totient is φ = 40212480.

The previous prime is 104214391. The next prime is 104214431. The reversal of 104214400 is 4412401.

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 11 ways as a sum of consecutive naturals, for example, 92239 + ... + 93361.

Almost surely, 2^104214400 is an apocalyptic number.

104214400 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 104214400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133278300).

104214400 is an abundant number, since it is smaller than the sum of its proper divisors (162342200).

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

104214400 is a wasteful number, since it uses less digits than its factorization.

104214400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1176 (or 1159 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 104214400 is about 10208.5454399733. The cubic root of 104214400 is about 470.5898735237.

Adding to 104214400 its reverse (4412401), we get a palindrome (108626801).

The spelling of 104214400 in words is "one hundred four million, two hundred fourteen thousand, four hundred".