10106106555673 has 2 divisors, whose sum is σ = 10106106555674. Its totient is φ = 10106106555672.

The previous prime is 10106106555631. The next prime is 10106106555683. The reversal of 10106106555673 is 37655560160101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7337120698944 + 2768985856729 = 2708712^2 + 1664027^2 .

It is a cyclic number.

It is not a de Polignac number, because 10106106555673 - 2⁹ = 10106106555161 is a prime.

It is not a weakly prime, because it can be changed into another prime (10106106555683) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5053053277836 + 5053053277837.

It is an arithmetic number, because the mean of its divisors is an integer number (5053053277837).

Almost surely, 2^{10106106555673} is an apocalyptic number.

It is an amenable number.

10106106555673 is a deficient number, since it is larger than the sum of its proper divisors (1).

10106106555673 is an equidigital number, since it uses as much as digits as its factorization.

10106106555673 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 567000, while the sum is 46.

The spelling of 10106106555673 in words is "ten trillion, one hundred six billion, one hundred six million, five hundred fifty-five thousand, six hundred seventy-three".