105132165 has 32 divisors (see below), whose sum is σ = 179366400. Its totient is φ = 52399104.

The previous prime is 105132161. The next prime is 105132169. The reversal of 105132165 is 561231501.

It is an interprime number because it is at equal distance from previous prime (105132161) and next prime (105132169).

It is not a de Polignac number, because 105132165 - 2² = 105132161 is a prime.

It is a super-2 number, since 2×105132165² = 22105544235174450, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105132161) 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, 36612 + ... + 39378.

It is an arithmetic number, because the mean of its divisors is an integer number (5605200).

Almost surely, 2^105132165 is an apocalyptic number.

105132165 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

105132165 is a deficient number, since it is larger than the sum of its proper divisors (74234235).

105132165 is a wasteful number, since it uses less digits than its factorization.

105132165 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2941.

The product of its (nonzero) digits is 900, while the sum is 24.

The square root of 105132165 is about 10253.3977295334. The cubic root of 105132165 is about 471.9672559996.

Adding to 105132165 its reverse (561231501), we get a palindrome (666363666).

The spelling of 105132165 in words is "one hundred five million, one hundred thirty-two thousand, one hundred sixty-five".