106170311076329 has 2 divisors, whose sum is σ = 106170311076330. Its totient is φ = 106170311076328.

The previous prime is 106170311076293. The next prime is 106170311076337. The reversal of 106170311076329 is 923670113071601.

Together with previous prime (106170311076293) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 69648171420304 + 36522139656025 = 8345548^2 + 6043355^2 .

It is a cyclic number.

It is not a de Polignac number, because 106170311076329 - 2²⁰ = 106170310027753 is a prime.

It is a super-2 number, since 2×106170311076329² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (106170311073329) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53085155538164 + 53085155538165.

It is an arithmetic number, because the mean of its divisors is an integer number (53085155538165).

Almost surely, 2^{106170311076329} is an apocalyptic number.

It is an amenable number.

106170311076329 is a deficient number, since it is larger than the sum of its proper divisors (1).

106170311076329 is an equidigital number, since it uses as much as digits as its factorization.

106170311076329 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 285768, while the sum is 47.

The spelling of 106170311076329 in words is "one hundred six trillion, one hundred seventy billion, three hundred eleven million, seventy-six thousand, three hundred twenty-nine".