106773131334689 has 2 divisors, whose sum is σ = 106773131334690. Its totient is φ = 106773131334688.

The previous prime is 106773131334677. The next prime is 106773131334763. The reversal of 106773131334689 is 986433131377601.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 84465382155025 + 22307749179664 = 9190505^2 + 4723108^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-106773131334689 is a prime.

It is a super-2 number, since 2×106773131334689² (a number of 29 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (106773131334589) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53386565667344 + 53386565667345.

It is an arithmetic number, because the mean of its divisors is an integer number (53386565667345).

Almost surely, 2^{106773131334689} is an apocalyptic number.

It is an amenable number.

106773131334689 is a deficient number, since it is larger than the sum of its proper divisors (1).

106773131334689 is an equidigital number, since it uses as much as digits as its factorization.

106773131334689 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 41150592, while the sum is 62.

The spelling of 106773131334689 in words is "one hundred six trillion, seven hundred seventy-three billion, one hundred thirty-one million, three hundred thirty-four thousand, six hundred eighty-nine".