105165 has 32 divisors (see below), whose sum is σ = 201600. Its totient is φ = 51840.

The previous prime is 105143. The next prime is 105167. The reversal of 105165 is 561501.

105165 = T₁₄₀ + T₁₄₁ + ... + T₁₄₉.

It is not a de Polignac number, because 105165 - 2⁷ = 105037 is a prime.

It is a super-2 number, since 2×105165² = 22119354450, which contains 22 as substring.

It is a plaindrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105167) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2545 + ... + 2585.

It is an arithmetic number, because the mean of its divisors is an integer number (6300).

2¹⁰⁵¹⁶⁵ is an apocalyptic number.

105165 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

105165 is a deficient number, since it is larger than the sum of its proper divisors (96435).

105165 is a wasteful number, since it uses less digits than its factorization.

105165 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74 (or 68 counting only the distinct ones).

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

The square root of 105165 is about 324.2915355047. The cubic root of 105165 is about 47.2016386006.

Adding to 105165 its reverse (561501), we get a palindrome (666666).

The spelling of 105165 in words is "one hundred five thousand, one hundred sixty-five".