105635989 has 2 divisors, whose sum is σ = 105635990. Its totient is φ = 105635988.

The previous prime is 105635963. The next prime is 105636043. The reversal of 105635989 is 989536501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 58644964 + 46991025 = 7658^2 + 6855^2 .

It is an emirp because it is prime and its reverse (989536501) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 105635989 - 2¹⁹ = 105111701 is a prime.

It is a super-2 number, since 2×105635989² = 22317924344016242, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105635489) 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, 52817994 + 52817995.

It is an arithmetic number, because the mean of its divisors is an integer number (52817995).

Almost surely, 2^105635989 is an apocalyptic number.

It is an amenable number.

105635989 is a deficient number, since it is larger than the sum of its proper divisors (1).

105635989 is an equidigital number, since it uses as much as digits as its factorization.

105635989 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 291600, while the sum is 46.

The square root of 105635989 is about 10277.9370011691. The cubic root of 105635989 is about 472.7199897558.

The spelling of 105635989 in words is "one hundred five million, six hundred thirty-five thousand, nine hundred eighty-nine".