107085 has 24 divisors (see below), whose sum is σ = 191520. Its totient is φ = 51040.

The previous prime is 107077. The next prime is 107089. The reversal of 107085 is 580701.

107085 = T₁₃₄ + T₁₃₅ + ... + T₁₄₄.

It is a happy number.

It is not a de Polignac number, because 107085 - 2³ = 107077 is a prime.

It is a super-2 number, since 2×107085² = 22934394450, which contains 22 as substring.

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 107085.

It is not an unprimeable number, because it can be changed into a prime (107089) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1786 + ... + 1844.

It is an arithmetic number, because the mean of its divisors is an integer number (7980).

2¹⁰⁷⁰⁸⁵ is an apocalyptic number.

107085 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

107085 is a deficient number, since it is larger than the sum of its proper divisors (84435).

107085 is a wasteful number, since it uses less digits than its factorization.

107085 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 280, while the sum is 21.

The square root of 107085 is about 327.2384451742. The cubic root of 107085 is about 47.4871618121.

Adding to 107085 its reverse (580701), we get a palindrome (687786).

The spelling of 107085 in words is "one hundred seven thousand, eighty-five".