110085 has 16 divisors (see below), whose sum is σ = 181440. Its totient is φ = 56960.

The previous prime is 110083. The next prime is 110119. The reversal of 110085 is 580011.

It is a happy number.

It is not a de Polignac number, because 110085 - 2¹ = 110083 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (15).

110085 is a lucky number.

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 110085.

It is not an unprimeable number, because it can be changed into a prime (110083) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 526 + ... + 704.

It is an arithmetic number, because the mean of its divisors is an integer number (11340).

2¹¹⁰⁰⁸⁵ is an apocalyptic number.

110085 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

110085 is a deficient number, since it is larger than the sum of its proper divisors (71355).

110085 is a wasteful number, since it uses less digits than its factorization.

110085 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228.

The product of its (nonzero) digits is 40, while the sum is 15.

The square root of 110085 is about 331.7905966118. The cubic root of 110085 is about 47.9265369291.

Adding to 110085 its reverse (580011), we get a palindrome (690096).

The spelling of 110085 in words is "one hundred ten thousand, eighty-five".