105966361 has 2 divisors, whose sum is σ = 105966362. Its totient is φ = 105966360.

The previous prime is 105966353. The next prime is 105966383. The reversal of 105966361 is 163669501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 84989961 + 20976400 = 9219^2 + 4580^2 .

It is an emirp because it is prime and its reverse (163669501) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 105966361 - 2³ = 105966353 is a prime.

It is a super-2 number, since 2×105966361² = 22457739327164642, 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 105966361.

It is not a weakly prime, because it can be changed into another prime (105966331) 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, 52983180 + 52983181.

It is an arithmetic number, because the mean of its divisors is an integer number (52983181).

Almost surely, 2^105966361 is an apocalyptic number.

It is an amenable number.

105966361 is a deficient number, since it is larger than the sum of its proper divisors (1).

105966361 is an equidigital number, since it uses as much as digits as its factorization.

105966361 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 29160, while the sum is 37.

The square root of 105966361 is about 10293.9963571006. The cubic root of 105966361 is about 473.2122806996.

The spelling of 105966361 in words is "one hundred five million, nine hundred sixty-six thousand, three hundred sixty-one".