104400114 has 64 divisors (see below), whose sum is σ = 259531776. Its totient is φ = 27261504.

The previous prime is 104400083. The next prime is 104400119. The reversal of 104400114 is 411004401.

It is a junction number, because it is equal to n+sod(n) for n = 104400093 and 104400102.

It is not an unprimeable number, because it can be changed into a prime (104400119) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 57529 + ... + 59315.

It is an arithmetic number, because the mean of its divisors is an integer number (4055184).

Almost surely, 2^104400114 is an apocalyptic number.

104400114 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 104400114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129765888).

104400114 is an abundant number, since it is smaller than the sum of its proper divisors (155131662).

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

104400114 is a wasteful number, since it uses less digits than its factorization.

104400114 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1919.

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 104400114 is about 10217.6373981464. The cubic root of 104400114 is about 470.8692439540.

Adding to 104400114 its reverse (411004401), we get a palindrome (515404515).

The spelling of 104400114 in words is "one hundred four million, four hundred thousand, one hundred fourteen".