105605161565 has 8 divisors (see below), whose sum is σ = 130814135808. Its totient is φ = 81758834640.

The previous prime is 105605161517. The next prime is 105605161567. The reversal of 105605161565 is 565161506501.

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

It is not a de Polignac number, because 105605161565 - 2¹⁰ = 105605160541 is a prime.

It is a super-2 number, since 2×105605161565² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105605161567) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 340661657 + ... + 340661966.

It is an arithmetic number, because the mean of its divisors is an integer number (16351766976).

Almost surely, 2^105605161565 is an apocalyptic number.

It is an amenable number.

105605161565 is a deficient number, since it is larger than the sum of its proper divisors (25208974243).

105605161565 is an equidigital number, since it uses as much as digits as its factorization.

105605161565 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 681323659.

The product of its (nonzero) digits is 135000, while the sum is 41.

The spelling of 105605161565 in words is "one hundred five billion, six hundred five million, one hundred sixty-one thousand, five hundred sixty-five".