105965281 has 2 divisors, whose sum is σ = 105965282. Its totient is φ = 105965280.

The previous prime is 105965273. The next prime is 105965291. The reversal of 105965281 is 182569501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 100400400 + 5564881 = 10020^2 + 2359^2 .

It is a cyclic number.

It is not a de Polignac number, because 105965281 - 2³ = 105965273 is a prime.

It is a super-2 number, since 2×105965281² = 22457281554817922, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105965281.

It is not a weakly prime, because it can be changed into another prime (105965221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52982640 + 52982641.

It is an arithmetic number, because the mean of its divisors is an integer number (52982641).

Almost surely, 2^105965281 is an apocalyptic number.

It is an amenable number.

105965281 is a deficient number, since it is larger than the sum of its proper divisors (1).

105965281 is an equidigital number, since it uses as much as digits as its factorization.

105965281 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 21600, while the sum is 37.

The square root of 105965281 is about 10293.9438992060. The cubic root of 105965281 is about 473.2106730479.

The spelling of 105965281 in words is "one hundred five million, nine hundred sixty-five thousand, two hundred eighty-one".