104117104 has 80 divisors (see below), whose sum is σ = 254205952. Its totient is φ = 40207104.

The previous prime is 104117087. The next prime is 104117107. The reversal of 104117104 is 401711401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104117107) by changing a digit.

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, 61777 + ... + 63439.

Almost surely, 2^104117104 is an apocalyptic number.

104117104 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 104117104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127102976).

104117104 is an abundant number, since it is smaller than the sum of its proper divisors (150088848).

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

104117104 is a wasteful number, since it uses less digits than its factorization.

104117104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1734 (or 1728 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 19.

The square root of 104117104 is about 10203.7789078361. The cubic root of 104117104 is about 470.4433781939.

Adding to 104117104 its reverse (401711401), we get a palindrome (505828505).

It can be divided in two parts, 1041 and 17104, that added together give a triangular number (18145 = T₁₉₀).

The spelling of 104117104 in words is "one hundred four million, one hundred seventeen thousand, one hundred four".