101085 has 16 divisors (see below), whose sum is σ = 169344. Its totient is φ = 51392.

The previous prime is 101081. The next prime is 101089. The reversal of 101085 is 580101.

101085 = 96² + 97² + ... + 105².

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (101081) and next prime (101089).

It is a cyclic number.

It is not a de Polignac number, because 101085 - 2² = 101081 is a prime.

It is a super-3 number, since 3×101085³ = 3098713334367375, which contains 333 as substring.

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

It is a plaindrome in base 16.

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 101085.

It is not an unprimeable number, because it can be changed into a prime (101081) 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, 199 + ... + 491.

It is an arithmetic number, because the mean of its divisors is an integer number (10584).

2¹⁰¹⁰⁸⁵ is an apocalyptic number.

101085 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

101085 is a deficient number, since it is larger than the sum of its proper divisors (68259).

101085 is a wasteful number, since it uses less digits than its factorization.

101085 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 324.

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

The square root of 101085 is about 317.9386733318. The cubic root of 101085 is about 46.5831556330.

Adding to 101085 its reverse (580101), we get a palindrome (681186).

The spelling of 101085 in words is "one hundred one thousand, eighty-five".