104031585 has 48 divisors (see below), whose sum is σ = 218215296. Its totient is φ = 44757504.

The previous prime is 104031581. The next prime is 104031611. The reversal of 104031585 is 585130401.

104031585 is a `hidden beast` number, since 10 + 40 + 31 + 585 = 666.

It is not a de Polignac number, because 104031585 - 2² = 104031581 is a prime.

It is a super-2 number, since 2×104031585² = 21645141355224450, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (104031581) 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 47 ways as a sum of consecutive naturals, for example, 4359 + ... + 15068.

It is an arithmetic number, because the mean of its divisors is an integer number (4546152).

Almost surely, 2^104031585 is an apocalyptic number.

104031585 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

104031585 is an abundant number, since it is smaller than the sum of its proper divisors (114183711).

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

104031585 is a wasteful number, since it uses less digits than its factorization.

104031585 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19462 (or 19459 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The square root of 104031585 is about 10199.5874916587. The cubic root of 104031585 is about 470.3145397166.

Adding to 104031585 its reverse (585130401), we get a palindrome (689161986).

It can be divided in two parts, 1040315 and 85, that added together give a square (1040400 = 1020²).

The spelling of 104031585 in words is "one hundred four million, thirty-one thousand, five hundred eighty-five".