104014400 has 168 divisors, whose sum is σ = 301605696. Its totient is φ = 34560000.

The previous prime is 104014343. The next prime is 104014403. The reversal of 104014400 is 4410401.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is not an unprimeable number, because it can be changed into a prime (104014403) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 414275 + ... + 414525.

It is an arithmetic number, because the mean of its divisors is an integer number (1795272).

Almost surely, 2^104014400 is an apocalyptic number.

104014400 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 104014400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150802848).

104014400 is an abundant number, since it is smaller than the sum of its proper divisors (197591296).

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

104014400 is a wasteful number, since it uses less digits than its factorization.

104014400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 317 (or 302 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

The square root of 104014400 is about 10198.7450208347. The cubic root of 104014400 is about 470.2886411704.

Adding to 104014400 its reverse (4410401), we get a palindrome (108424801).

The spelling of 104014400 in words is "one hundred four million, fourteen thousand, four hundred".