107185 has 16 divisors (see below), whose sum is σ = 148176. Its totient is φ = 73728.

The previous prime is 107183. The next prime is 107197. The reversal of 107185 is 581701.

107185 = 231² + 232².

It can be written as a sum of positive squares in 8 ways, for example, as 2209 + 104976 = 47^2 + 324^2 .

It is a 4-Lehmer number, since φ(107185) divides (107185-1)⁴.

It is a cyclic number.

It is not a de Polignac number, because 107185 - 2¹ = 107183 is a prime.

It is a super-2 number, since 2×107185² = 22977248450, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (107183) 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, 1057 + ... + 1153.

It is an arithmetic number, because the mean of its divisors is an integer number (9261).

It is a Poulet number, since it divides 2¹⁰⁷¹⁸⁴-1.

2¹⁰⁷¹⁸⁵ is an apocalyptic number.

107185 is the 232-nd centered square number.

It is an amenable number.

107185 is a deficient number, since it is larger than the sum of its proper divisors (40991).

107185 is a wasteful number, since it uses less digits than its factorization.

107185 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132.

The product of its (nonzero) digits is 280, while the sum is 22.

The square root of 107185 is about 327.3912033027. The cubic root of 107185 is about 47.5019389790.

Adding to 107185 its reverse (581701), we get a palindrome (688886).

It can be divided in two parts, 1071 and 85, that added together give a square (1156 = 34²).

The spelling of 107185 in words is "one hundred seven thousand, one hundred eighty-five".