10605065555661 has 16 divisors (see below), whose sum is σ = 14477334231360. Its totient is φ = 6901611373440.

The previous prime is 10605065555653. The next prime is 10605065555699. The reversal of 10605065555661 is 16655556050601.

It is not a de Polignac number, because 10605065555661 - 2³ = 10605065555653 is a prime.

It is a super-2 number, since 2×10605065555661² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10605065554661) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23662306 + ... + 24106323.

It is an arithmetic number, because the mean of its divisors is an integer number (904833389460).

Almost surely, 2^{10605065555661} is an apocalyptic number.

It is an amenable number.

10605065555661 is a deficient number, since it is larger than the sum of its proper divisors (3872268675699).

10605065555661 is a wasteful number, since it uses less digits than its factorization.

10605065555661 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47770396.

The product of its (nonzero) digits is 4050000, while the sum is 51.

The spelling of 10605065555661 in words is "ten trillion, six hundred five billion, sixty-five million, five hundred fifty-five thousand, six hundred sixty-one".