106817162790281 has 2 divisors, whose sum is σ = 106817162790282. Its totient is φ = 106817162790280.

The previous prime is 106817162790199. The next prime is 106817162790347. The reversal of 106817162790281 is 182097261718601.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 59380663633225 + 47436499157056 = 7705885^2 + 6887416^2 .

It is a cyclic number.

It is not a de Polignac number, because 106817162790281 - 2¹⁸ = 106817162528137 is a prime.

It is a super-2 number, since 2×106817162790281² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 106817162790281.

It is not a weakly prime, because it can be changed into another prime (106817162795281) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53408581395140 + 53408581395141.

It is an arithmetic number, because the mean of its divisors is an integer number (53408581395141).

Almost surely, 2^{106817162790281} is an apocalyptic number.

It is an amenable number.

106817162790281 is a deficient number, since it is larger than the sum of its proper divisors (1).

106817162790281 is an equidigital number, since it uses as much as digits as its factorization.

106817162790281 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 4064256, while the sum is 59.

The spelling of 106817162790281 in words is "one hundred six trillion, eight hundred seventeen billion, one hundred sixty-two million, seven hundred ninety thousand, two hundred eighty-one".