104116104 has 160 divisors (see below), whose sum is σ = 309450240. Its totient is φ = 32659200.

The previous prime is 104116091. The next prime is 104116127. The reversal of 104116104 is 401611401.

104116104 is a `hidden beast` number, since 10 + 41 + 1 + 610 + 4 = 666.

It is a super-2 number, since 2×104116104² = 21680326224277632, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 39 ways as a sum of consecutive naturals, for example, 1426212 + ... + 1426284.

It is an arithmetic number, because the mean of its divisors is an integer number (1934064).

Almost surely, 2^104116104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 104116104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154725120).

104116104 is an abundant number, since it is smaller than the sum of its proper divisors (205334136).

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

104116104 is a wasteful number, since it uses less digits than its factorization.

104116104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 104116104 is about 10203.7299062647. The cubic root of 104116104 is about 470.4418720536.

Adding to 104116104 its reverse (401611401), we get a palindrome (505727505).

It can be divided in two parts, 10 and 4116104, that added together give a palindrome (4116114).

The spelling of 104116104 in words is "one hundred four million, one hundred sixteen thousand, one hundred four".