104115120 has 40 divisors (see below), whose sum is σ = 322757616. Its totient is φ = 27763968.

The previous prime is 104115107. The next prime is 104115131. The reversal of 104115120 is 21511401.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×104115120² = 21679916425228800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 104115120.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 216667 + ... + 217146.

Almost surely, 2^104115120 is an apocalyptic number.

104115120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

104115120 is an abundant number, since it is smaller than the sum of its proper divisors (218642496).

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

104115120 is a wasteful number, since it uses less digits than its factorization.

104115120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 433829 (or 433823 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 15.

The square root of 104115120 is about 10203.6816884887. The cubic root of 104115120 is about 470.4403900022.

Adding to 104115120 its reverse (21511401), we get a palindrome (125626521).

It can be divided in two parts, 1041 and 15120, that added together give a palindrome (16161).

The spelling of 104115120 in words is "one hundred four million, one hundred fifteen thousand, one hundred twenty".