10505516966 has 16 divisors (see below), whose sum is σ = 18146937600. Its totient is φ = 4467994440.

The previous prime is 10505516963. The next prime is 10505516971. The reversal of 10505516966 is 66961550501.

It is a super-2 number, since 2×10505516966² (a number of 21 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10505516963) 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, 2862266 + ... + 2865933.

It is an arithmetic number, because the mean of its divisors is an integer number (1134183600).

Almost surely, 2^10505516966 is an apocalyptic number.

10505516966 is a deficient number, since it is larger than the sum of its proper divisors (7641420634).

10505516966 is a wasteful number, since it uses less digits than its factorization.

10505516966 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5728339.

The product of its (nonzero) digits is 243000, while the sum is 44.

The spelling of 10505516966 in words is "ten billion, five hundred five million, five hundred sixteen thousand, nine hundred sixty-six".