105616165 has 8 divisors (see below), whose sum is σ = 126924408. Its totient is φ = 84369600.

The previous prime is 105616151. The next prime is 105616183. The reversal of 105616165 is 561616501.

It can be written as a sum of positive squares in 4 ways, for example, as 17969121 + 87647044 = 4239^2 + 9362^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 105616165 - 2⁷ = 105616037 is a prime.

It is a super-2 number, since 2×105616165² = 22309548618614450, which contains 22 as substring.

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

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 11562 + ... + 18571.

It is an arithmetic number, because the mean of its divisors is an integer number (15865551).

Almost surely, 2^105616165 is an apocalyptic number.

It is an amenable number.

105616165 is a deficient number, since it is larger than the sum of its proper divisors (21308243).

105616165 is an equidigital number, since it uses as much as digits as its factorization.

105616165 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30839.

The product of its (nonzero) digits is 5400, while the sum is 31.

The square root of 105616165 is about 10276.9725600490. The cubic root of 105616165 is about 472.6904171722.

The spelling of 105616165 in words is "one hundred five million, six hundred sixteen thousand, one hundred sixty-five".