106161566605529 has 2 divisors, whose sum is σ = 106161566605530. Its totient is φ = 106161566605528.

The previous prime is 106161566605513. The next prime is 106161566605541. The reversal of 106161566605529 is 925506665161601.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 57893046127504 + 48268520478025 = 7608748^2 + 6947555^2 .

It is a cyclic number.

It is not a de Polignac number, because 106161566605529 - 2⁴ = 106161566605513 is a prime.

It is a super-2 number, since 2×106161566605529² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (106161566605229) 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, 53080783302764 + 53080783302765.

It is an arithmetic number, because the mean of its divisors is an integer number (53080783302765).

Almost surely, 2^{106161566605529} is an apocalyptic number.

It is an amenable number.

106161566605529 is a deficient number, since it is larger than the sum of its proper divisors (1).

106161566605529 is an equidigital number, since it uses as much as digits as its factorization.

106161566605529 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 17496000, while the sum is 59.

The spelling of 106161566605529 in words is "one hundred six trillion, one hundred sixty-one billion, five hundred sixty-six million, six hundred five thousand, five hundred twenty-nine".