106566304721 has 2 divisors, whose sum is σ = 106566304722. Its totient is φ = 106566304720.

The previous prime is 106566304709. The next prime is 106566304759. The reversal of 106566304721 is 127403665601.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 84085500625 + 22480804096 = 289975^2 + 149936^2 .

It is an emirp because it is prime and its reverse (127403665601) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-106566304721 is a prime.

It is a super-2 number, since 2×106566304721² (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (106566384721) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53283152360 + 53283152361.

It is an arithmetic number, because the mean of its divisors is an integer number (53283152361).

Almost surely, 2^106566304721 is an apocalyptic number.

It is an amenable number.

106566304721 is a deficient number, since it is larger than the sum of its proper divisors (1).

106566304721 is an equidigital number, since it uses as much as digits as its factorization.

106566304721 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 181440, while the sum is 41.

The spelling of 106566304721 in words is "one hundred six billion, five hundred sixty-six million, three hundred four thousand, seven hundred twenty-one".