10605505109965 has 8 divisors (see below), whose sum is σ = 12730518418968. Its totient is φ = 8481795896640.

The previous prime is 10605505109959. The next prime is 10605505109999. The reversal of 10605505109965 is 56990150550601.

It can be written as a sum of positive squares in 4 ways, for example, as 1185829525764 + 9419675584201 = 1088958^2 + 3069149^2 .

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

It is not a de Polignac number, because 10605505109965 - 2³ = 10605505109957 is a prime.

It is a super-2 number, since 2×10605505109965² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

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, 326006026 + ... + 326038555.

It is an arithmetic number, because the mean of its divisors is an integer number (1591314802371).

Almost surely, 2^{10605505109965} is an apocalyptic number.

It is an amenable number.

10605505109965 is a deficient number, since it is larger than the sum of its proper divisors (2125013309003).

10605505109965 is an equidigital number, since it uses as much as digits as its factorization.

10605505109965 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 652047839.

The product of its (nonzero) digits is 1822500, while the sum is 52.

The spelling of 10605505109965 in words is "ten trillion, six hundred five billion, five hundred five million, one hundred nine thousand, nine hundred sixty-five".