106773131334763 has 2 divisors, whose sum is σ = 106773131334764. Its totient is φ = 106773131334762.

The previous prime is 106773131334689. The next prime is 106773131334767. The reversal of 106773131334763 is 367433131377601.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 106773131334763 - 2⁴¹ = 104574108079211 is a prime.

It is a super-2 number, since 2×106773131334763² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (106773131334767) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53386565667381 + 53386565667382.

It is an arithmetic number, because the mean of its divisors is an integer number (53386565667382).

Almost surely, 2^{106773131334763} is an apocalyptic number.

106773131334763 is a deficient number, since it is larger than the sum of its proper divisors (1).

106773131334763 is an equidigital number, since it uses as much as digits as its factorization.

106773131334763 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 12002256, while the sum is 55.

The spelling of 106773131334763 in words is "one hundred six trillion, seven hundred seventy-three billion, one hundred thirty-one million, three hundred thirty-four thousand, seven hundred sixty-three".