106331216569 has 2 divisors, whose sum is σ = 106331216570. Its totient is φ = 106331216568.

The previous prime is 106331216549. The next prime is 106331216591. The reversal of 106331216569 is 965612133601.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 73484366400 + 32846850169 = 271080^2 + 181237^2 .

It is an emirp because it is prime and its reverse (965612133601) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 106331216569 - 2¹⁵ = 106331183801 is a prime.

It is a super-3 number, since 3×106331216569³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not a weakly prime, because it can be changed into another prime (106331216539) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53165608284 + 53165608285.

It is an arithmetic number, because the mean of its divisors is an integer number (53165608285).

Almost surely, 2^106331216569 is an apocalyptic number.

It is an amenable number.

106331216569 is a deficient number, since it is larger than the sum of its proper divisors (1).

106331216569 is an equidigital number, since it uses as much as digits as its factorization.

106331216569 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 174960, while the sum is 43.

The spelling of 106331216569 in words is "one hundred six billion, three hundred thirty-one million, two hundred sixteen thousand, five hundred sixty-nine".