104689585 has 48 divisors (see below), whose sum is σ = 169706880. Its totient is φ = 60203520.

The previous prime is 104689579. The next prime is 104689589. The reversal of 104689585 is 585986401.

104689585 = 3080² + 3081² + ... + 3090².

It is not a de Polignac number, because 104689585 - 2¹⁷ = 104558513 is a prime.

It is not an unprimeable number, because it can be changed into a prime (104689589) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 64261 + ... + 65869.

It is an arithmetic number, because the mean of its divisors is an integer number (3535560).

Almost surely, 2^104689585 is an apocalyptic number.

It is an amenable number.

104689585 is a deficient number, since it is larger than the sum of its proper divisors (65017295).

104689585 is a wasteful number, since it uses less digits than its factorization.

104689585 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1658 (or 1645 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 46.

The square root of 104689585 is about 10231.7928536498. The cubic root of 104689585 is about 471.3040366098.

The spelling of 104689585 in words is "one hundred four million, six hundred eighty-nine thousand, five hundred eighty-five".