85104 has 40 divisors (see below), whose sum is σ = 245520. Its totient is φ = 28224.

The previous prime is 85103. The next prime is 85109. The reversal of 85104 is 40158.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 85104.

It is not an unprimeable number, because it can be changed into a prime (85103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 334 + ... + 530.

It is an arithmetic number, because the mean of its divisors is an integer number (6138).

2⁸⁵¹⁰⁴ 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 85104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122760).

85104 is an abundant number, since it is smaller than the sum of its proper divisors (160416).

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

85104 is a wasteful number, since it uses less digits than its factorization.

85104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 85104 is about 291.7258987474. The cubic root of 85104 is about 43.9862215811.

Adding to 85104 its product of nonzero digits (160), we get a square (85264 = 292²).

The spelling of 85104 in words is "eighty-five thousand, one hundred four".