105165705 has 16 divisors (see below), whose sum is σ = 168393024. Its totient is φ = 56045760.

The previous prime is 105165691. The next prime is 105165713. The reversal of 105165705 is 507561501.

It is not a de Polignac number, because 105165705 - 2⁸ = 105165449 is a prime.

It is a super-3 number, since 3×105165705³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34087 + ... + 37043.

It is an arithmetic number, because the mean of its divisors is an integer number (10524564).

Almost surely, 2^105165705 is an apocalyptic number.

105165705 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

105165705 is a deficient number, since it is larger than the sum of its proper divisors (63227319).

105165705 is a wasteful number, since it uses less digits than its factorization.

105165705 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5336.

The product of its (nonzero) digits is 5250, while the sum is 30.

The square root of 105165705 is about 10255.0331545052. The cubic root of 105165705 is about 472.0174407637.

The spelling of 105165705 in words is "one hundred five million, one hundred sixty-five thousand, seven hundred five".