104116584 has 128 divisors (see below), whose sum is σ = 319334400. Its totient is φ = 27836160.

The previous prime is 104116577. The next prime is 104116627. The reversal of 104116584 is 485611401.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 78277 + ... + 79595.

It is an arithmetic number, because the mean of its divisors is an integer number (2494800).

Almost surely, 2^104116584 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 104116584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159667200).

104116584 is an abundant number, since it is smaller than the sum of its proper divisors (215217816).

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

104116584 is a wasteful number, since it uses less digits than its factorization.

104116584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1375 (or 1371 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 30.

The square root of 104116584 is about 10203.7534270483. The cubic root of 104116584 is about 470.4425950022.

Adding to 104116584 its reverse (485611401), we get a palindrome (589727985).

The spelling of 104116584 in words is "one hundred four million, one hundred sixteen thousand, five hundred eighty-four".