104414200 has 96 divisors (see below), whose sum is σ = 273553920. Its totient is φ = 36720000.

The previous prime is 104414197. The next prime is 104414201. The reversal of 104414200 is 2414401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104414201) 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, 67435 + ... + 68965.

It is an arithmetic number, because the mean of its divisors is an integer number (2849520).

Almost surely, 2^104414200 is an apocalyptic number.

104414200 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 104414200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136776960).

104414200 is an abundant number, since it is smaller than the sum of its proper divisors (169139720).

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

104414200 is a wasteful number, since it uses less digits than its factorization.

104414200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1589 (or 1580 counting only the distinct ones).

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

The square root of 104414200 is about 10218.3266731887. The cubic root of 104414200 is about 470.8904200671.

Adding to 104414200 its reverse (2414401), we get a palindrome (106828601).

It can be divided in two parts, 10441 and 4200, that added together give a palindrome (14641).

The spelling of 104414200 in words is "one hundred four million, four hundred fourteen thousand, two hundred".