104086584 has 144 divisors (see below), whose sum is σ = 331760520. Its totient is φ = 29393280.

The previous prime is 104086573. The next prime is 104086613. The reversal of 104086584 is 485680401.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nialpdrome in base 14.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 574974 + ... + 575154.

Almost surely, 2^104086584 is an apocalyptic number.

104086584 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 104086584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165880260).

104086584 is an abundant number, since it is smaller than the sum of its proper divisors (227673936).

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

104086584 is a wasteful number, since it uses less digits than its factorization.

104086584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 370 (or 356 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 104086584 is about 10202.2832738559. The cubic root of 104086584 is about 470.3974064483.

The spelling of 104086584 in words is "one hundred four million, eighty-six thousand, five hundred eighty-four".