105665601065 has 8 divisors (see below), whose sum is σ = 126852079560. Its totient is φ = 84496908672.

The previous prime is 105665601043. The next prime is 105665601071. The reversal of 105665601065 is 560106566501.

It can be written as a sum of positive squares in 4 ways, for example, as 1257127936 + 104408473129 = 35456^2 + 323123^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 105665601065 - 2⁶ = 105665601001 is a prime.

It is a super-2 number, since 2×105665601065² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4433450 + ... + 4457219.

It is an arithmetic number, because the mean of its divisors is an integer number (15856509945).

Almost surely, 2^105665601065 is an apocalyptic number.

It is an amenable number.

105665601065 is a deficient number, since it is larger than the sum of its proper divisors (21186478495).

105665601065 is an equidigital number, since it uses as much as digits as its factorization.

105665601065 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8893051.

The product of its (nonzero) digits is 162000, while the sum is 41.

The spelling of 105665601065 in words is "one hundred five billion, six hundred sixty-five million, six hundred one thousand, sixty-five".