105660560565 has 80 divisors (see below), whose sum is σ = 227857365120. Its totient is φ = 45759738240.

The previous prime is 105660560477. The next prime is 105660560567. The reversal of 105660560565 is 565065066501.

It is not a de Polignac number, because 105660560565 - 2¹⁰ = 105660559541 is a prime.

It is a super-2 number, since 2×105660560565² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 105660560565.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105660560567) 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 79 ways as a sum of consecutive naturals, for example, 926926 + ... + 1034655.

It is an arithmetic number, because the mean of its divisors is an integer number (2848217064).

Almost surely, 2^105660560565 is an apocalyptic number.

105660560565 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

105660560565 is an abundant number, since it is smaller than the sum of its proper divisors (122196804555).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

105660560565 is a wasteful number, since it uses less digits than its factorization.

105660560565 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1961624 (or 1961615 counting only the distinct ones).

The product of its (nonzero) digits is 810000, while the sum is 45.

The spelling of 105660560565 in words is "one hundred five billion, six hundred sixty million, five hundred sixty thousand, five hundred sixty-five".