10066964431105 has 32 divisors (see below), whose sum is σ = 12332852532000. Its totient is φ = 7887172165632.

The previous prime is 10066964431093. The next prime is 10066964431127. The reversal of 10066964431105 is 50113446966001.

It is a Cunningham number, because it is equal to 3172848²+1.

It can be written as a sum of positive squares in 16 ways, for example, as 6442860281841 + 3624104149264 = 2538279^2 + 1903708^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10066964431105 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 40741471 + ... + 40987819.

It is an arithmetic number, because the mean of its divisors is an integer number (385401641625).

Almost surely, 2^{10066964431105} is an apocalyptic number.

It is an amenable number.

10066964431105 is a deficient number, since it is larger than the sum of its proper divisors (2265888100895).

10066964431105 is a wasteful number, since it uses less digits than its factorization.

10066964431105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 247333.

The product of its (nonzero) digits is 466560, while the sum is 46.

The spelling of 10066964431105 in words is "ten trillion, sixty-six billion, nine hundred sixty-four million, four hundred thirty-one thousand, one hundred five".