106566765673 has 2 divisors, whose sum is σ = 106566765674. Its totient is φ = 106566765672.

The previous prime is 106566765661. The next prime is 106566765689. The reversal of 106566765673 is 376567665601.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 82226709504 + 24340056169 = 286752^2 + 156013^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-106566765673 is a prime.

It is a super-2 number, since 2×106566765673² (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (106566760673) 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 as a sum of consecutive naturals, namely, 53283382836 + 53283382837.

It is an arithmetic number, because the mean of its divisors is an integer number (53283382837).

Almost surely, 2^106566765673 is an apocalyptic number.

It is an amenable number.

106566765673 is a deficient number, since it is larger than the sum of its proper divisors (1).

106566765673 is an equidigital number, since it uses as much as digits as its factorization.

106566765673 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 28576800, while the sum is 58.

The spelling of 106566765673 in words is "one hundred six billion, five hundred sixty-six million, seven hundred sixty-five thousand, six hundred seventy-three".