105165165 has 32 divisors (see below), whose sum is σ = 198938880. Its totient is φ = 46416384.

The previous prime is 105165161. The next prime is 105165167. The reversal of 105165165 is 561561501.

It is not a de Polignac number, because 105165165 - 2² = 105165161 is a prime.

It is a super-2 number, since 2×105165165² = 22119423858954450, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105165161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14224 + ... + 20313.

It is an arithmetic number, because the mean of its divisors is an integer number (6216840).

Almost surely, 2^105165165 is an apocalyptic number.

105165165 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

105165165 is a deficient number, since it is larger than the sum of its proper divisors (93773715).

105165165 is a wasteful number, since it uses less digits than its factorization.

105165165 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34581.

The product of its (nonzero) digits is 4500, while the sum is 30.

The square root of 105165165 is about 10255.0068259363. The cubic root of 105165165 is about 472.0166328645.

The spelling of 105165165 in words is "one hundred five million, one hundred sixty-five thousand, one hundred sixty-five".