104115144 has 64 divisors (see below), whose sum is σ = 300585600. Its totient is φ = 29435904.

The previous prime is 104115131. The next prime is 104115197. The reversal of 104115144 is 441511401.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 104115144.

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 15 ways as a sum of consecutive naturals, for example, 13102 + ... + 19490.

It is an arithmetic number, because the mean of its divisors is an integer number (4696650).

Almost surely, 2^104115144 is an apocalyptic number.

104115144 is a gapful number since it is divisible by the number (14) 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 104115144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150292800).

104115144 is an abundant number, since it is smaller than the sum of its proper divisors (196470456).

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

104115144 is a wasteful number, since it uses less digits than its factorization.

104115144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6502 (or 6498 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 21.

The square root of 104115144 is about 10203.6828645347. The cubic root of 104115144 is about 470.4404261499.

Adding to 104115144 its reverse (441511401), we get a palindrome (545626545).

The spelling of 104115144 in words is "one hundred four million, one hundred fifteen thousand, one hundred forty-four".