104115200 has 198 divisors, whose sum is σ = 303832116. Its totient is φ = 35266560.

The previous prime is 104115197. The next prime is 104115211. The reversal of 104115200 is 2511401.

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

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1254359 + ... + 1254441.

Almost surely, 2^104115200 is an apocalyptic number.

104115200 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 104115200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151916058).

104115200 is an abundant number, since it is smaller than the sum of its proper divisors (199716916).

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

104115200 is an equidigital number, since it uses as much as digits as its factorization.

104115200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 14.

The square root of 104115200 is about 10203.6856086416. The cubic root of 104115200 is about 470.4405104945.

Adding to 104115200 its reverse (2511401), we get a palindrome (106626601).

The spelling of 104115200 in words is "one hundred four million, one hundred fifteen thousand, two hundred".