106085 has 12 divisors (see below), whose sum is σ = 148428. Its totient is φ = 72576.

The previous prime is 106033. The next prime is 106087. The reversal of 106085 is 580601.

It can be written as a sum of positive squares in 2 ways, for example, as 23716 + 82369 = 154^2 + 287^2 .

It is not a de Polignac number, because 106085 - 2⁸ = 105829 is a prime.

It is a super-2 number, since 2×106085² = 22508054450, 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 106085.

It is not an unprimeable number, because it can be changed into a prime (106087) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 29 + ... + 461.

It is an arithmetic number, because the mean of its divisors is an integer number (12369).

2¹⁰⁶⁰⁸⁵ is an apocalyptic number.

It is an amenable number.

106085 is a deficient number, since it is larger than the sum of its proper divisors (42343).

106085 is an equidigital number, since it uses as much as digits as its factorization.

106085 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 452 (or 445 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 20.

The square root of 106085 is about 325.7069234757. The cubic root of 106085 is about 47.3388816261.

Adding to 106085 its reverse (580601), we get a palindrome (686686).

It can be divided in two parts, 1060 and 85, that multiplied together give a triangular number (90100 = T₄₂₄).

The spelling of 106085 in words is "one hundred six thousand, eighty-five".