106445164303117 has 2 divisors, whose sum is σ = 106445164303118. Its totient is φ = 106445164303116.

The previous prime is 106445164303081. The next prime is 106445164303147. The reversal of 106445164303117 is 711303461544601.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 105653030482756 + 792133820361 = 10278766^2 + 890019^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-106445164303117 is a prime.

It is a super-2 number, since 2×106445164303117² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (106445164303147) 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, 53222582151558 + 53222582151559.

It is an arithmetic number, because the mean of its divisors is an integer number (53222582151559).

Almost surely, 2^{106445164303117} is an apocalyptic number.

It is an amenable number.

106445164303117 is a deficient number, since it is larger than the sum of its proper divisors (1).

106445164303117 is an equidigital number, since it uses as much as digits as its factorization.

106445164303117 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 725760, while the sum is 46.

The spelling of 106445164303117 in words is "one hundred six trillion, four hundred forty-five billion, one hundred sixty-four million, three hundred three thousand, one hundred seventeen".