106185 has 8 divisors (see below), whose sum is σ = 169920. Its totient is φ = 56624.

The previous prime is 106181. The next prime is 106187. The reversal of 106185 is 581601.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 106185 - 2² = 106181 is a prime.

It is a super-2 number, since 2×106185² = 22550508450, which contains 22 as substring.

106185 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (106181) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3525 + ... + 3554.

It is an arithmetic number, because the mean of its divisors is an integer number (21240).

2¹⁰⁶¹⁸⁵ is an apocalyptic number.

106185 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

106185 is a deficient number, since it is larger than the sum of its proper divisors (63735).

106185 is an equidigital number, since it uses as much as digits as its factorization.

106185 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7087.

The product of its (nonzero) digits is 240, while the sum is 21.

The square root of 106185 is about 325.8603995578. The cubic root of 106185 is about 47.3537514678.

Adding to 106185 its reverse (581601), we get a palindrome (687786).

The spelling of 106185 in words is "one hundred six thousand, one hundred eighty-five".