109185 has 16 divisors (see below), whose sum is σ = 181440. Its totient is φ = 56000.

The previous prime is 109171. The next prime is 109199. The reversal of 109185 is 581901.

It is an interprime number because it is at equal distance from previous prime (109171) and next prime (109199).

It is not a de Polignac number, because 109185 - 2⁴ = 109169 is a prime.

It is a Curzon number.

109185 is a lucky number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 109185.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 310 + ... + 560.

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

2¹⁰⁹¹⁸⁵ is an apocalyptic number.

109185 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

109185 is a deficient number, since it is larger than the sum of its proper divisors (72255).

109185 is a wasteful number, since it uses less digits than its factorization.

109185 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288.

The product of its (nonzero) digits is 360, while the sum is 24.

The square root of 109185 is about 330.4315360252. The cubic root of 109185 is about 47.7955715627.

It can be divided in two parts, 1091 and 85, that added together give a triangular number (1176 = T₄₈).

The spelling of 109185 in words is "one hundred nine thousand, one hundred eighty-five".