106563333047177 has 2 divisors, whose sum is σ = 106563333047178. Its totient is φ = 106563333047176.

The previous prime is 106563333047113. The next prime is 106563333047201. The reversal of 106563333047177 is 771740333365601.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 101526199192441 + 5037133854736 = 10076021^2 + 2244356^2 .

It is a cyclic number.

It is not a de Polignac number, because 106563333047177 - 2⁶ = 106563333047113 is a prime.

It is a super-2 number, since 2×106563333047177² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (106563333047107) 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, 53281666523588 + 53281666523589.

It is an arithmetic number, because the mean of its divisors is an integer number (53281666523589).

Almost surely, 2^{106563333047177} is an apocalyptic number.

It is an amenable number.

106563333047177 is a deficient number, since it is larger than the sum of its proper divisors (1).

106563333047177 is an equidigital number, since it uses as much as digits as its factorization.

106563333047177 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 20003760, while the sum is 56.

The spelling of 106563333047177 in words is "one hundred six trillion, five hundred sixty-three billion, three hundred thirty-three million, forty-seven thousand, one hundred seventy-seven".