165105 has 16 divisors (see below), whose sum is σ = 293760. Its totient is φ = 87984.

The previous prime is 165103. The next prime is 165133. The reversal of 165105 is 501561.

It is not a de Polignac number, because 165105 - 2¹ = 165103 is a prime.

It is a super-2 number, since 2×165105² = 54519322050, which contains 22 as substring.

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (165103) 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, 477 + ... + 746.

It is an arithmetic number, because the mean of its divisors is an integer number (18360).

2¹⁶⁵¹⁰⁵ is an apocalyptic number.

165105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

165105 is a deficient number, since it is larger than the sum of its proper divisors (128655).

165105 is a wasteful number, since it uses less digits than its factorization.

165105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1237 (or 1231 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 18.

The square root of 165105 is about 406.3311457420. The cubic root of 165105 is about 54.8596974954.

Adding to 165105 its reverse (501561), we get a palindrome (666666).

The spelling of 165105 in words is "one hundred sixty-five thousand, one hundred five".