105870165 has 16 divisors (see below), whose sum is σ = 171140928. Its totient is φ = 55881216.

The previous prime is 105870143. The next prime is 105870199. The reversal of 105870165 is 561078501.

It is not a de Polignac number, because 105870165 - 2¹⁸ = 105608021 is a prime.

It is a super-2 number, since 2×105870165² = 22416983674254450, which contains 22 as substring.

It is an alternating number because its digits alternate between odd and even.

It is a congruent 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, 34927 + ... + 37836.

It is an arithmetic number, because the mean of its divisors is an integer number (10696308).

Almost surely, 2^105870165 is an apocalyptic number.

105870165 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

105870165 is a deficient number, since it is larger than the sum of its proper divisors (65270763).

105870165 is an equidigital number, since it uses as much as digits as its factorization.

105870165 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72868.

The product of its (nonzero) digits is 8400, while the sum is 33.

The square root of 105870165 is about 10289.3228640178. The cubic root of 105870165 is about 473.0690437021.

The spelling of 105870165 in words is "one hundred five million, eight hundred seventy thousand, one hundred sixty-five".