10185 has 16 divisors (see below), whose sum is σ = 18816. Its totient is φ = 4608.

The previous prime is 10181. The next prime is 10193. The reversal of 10185 is 58101.

It is a happy number.

It is not a de Polignac number, because 10185 - 2² = 10181 is a prime.

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

It is an alternating number because its digits alternate between odd and even.

10185 is a modest number, since divided by 185 gives 10 as remainder.

It is not an unprimeable number, because it can be changed into a prime (10181) 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, 57 + ... + 153.

It is an arithmetic number, because the mean of its divisors is an integer number (1176).

2¹⁰¹⁸⁵ is an apocalyptic number.

10185 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10185 is a deficient number, since it is larger than the sum of its proper divisors (8631).

10185 is an equidigital number, since it uses as much as digits as its factorization.

10185 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112.

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

The square root of 10185 is about 100.9207609959. The cubic root of 10185 is about 21.6763927405.

Adding to 10185 its reverse (58101), we get a palindrome (68286).

The spelling of 10185 in words is "ten thousand, one hundred eighty-five".