85105 has 4 divisors (see below), whose sum is σ = 102132. Its totient is φ = 68080.

The previous prime is 85103. The next prime is 85109. The reversal of 85105 is 50158.

85105 = T₁₈₂ + T₁₈₃ + ... + T₁₈₆.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 62001 + 23104 = 249^2 + 152^2 .

It is not a de Polignac number, because 85105 - 2¹ = 85103 is a prime.

It is a super-2 number, since 2×85105² = 14485722050, which contains 22 as substring.

It is a Duffinian number.

85105 is a lucky number.

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

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 8506 + ... + 8515.

It is an arithmetic number, because the mean of its divisors is an integer number (25533).

2⁸⁵¹⁰⁵ is an apocalyptic number.

It is an amenable number.

85105 is a deficient number, since it is larger than the sum of its proper divisors (17027).

85105 is a wasteful number, since it uses less digits than its factorization.

85105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17026.

The product of its (nonzero) digits is 200, while the sum is 19.

The square root of 85105 is about 291.7276126800. The cubic root of 85105 is about 43.9863938646.

It can be divided in two parts, 8510 and 5, that added together give a triangular number (8515 = T₁₃₀).

The spelling of 85105 in words is "eighty-five thousand, one hundred five".