106566561133 has 2 divisors, whose sum is σ = 106566561134. Its totient is φ = 106566561132.

The previous prime is 106566561071. The next prime is 106566561197. The reversal of 106566561133 is 331165665601.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 63130582564 + 43435978569 = 251258^2 + 208413^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-106566561133 is a prime.

It is a super-2 number, since 2×106566561133² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 106566561133.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (106566562133) 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, 53283280566 + 53283280567.

It is an arithmetic number, because the mean of its divisors is an integer number (53283280567).

Almost surely, 2^106566561133 is an apocalyptic number.

It is an amenable number.

106566561133 is a deficient number, since it is larger than the sum of its proper divisors (1).

106566561133 is an equidigital number, since it uses as much as digits as its factorization.

106566561133 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 291600, while the sum is 43.

The spelling of 106566561133 in words is "one hundred six billion, five hundred sixty-six million, five hundred sixty-one thousand, one hundred thirty-three".