105036689 has 2 divisors, whose sum is σ = 105036690. Its totient is φ = 105036688.

The previous prime is 105036661. The next prime is 105036713. The reversal of 105036689 is 986630501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 104448400 + 588289 = 10220^2 + 767^2 .

It is a cyclic number.

It is not a de Polignac number, because 105036689 - 2¹² = 105032593 is a prime.

It is a super-2 number, since 2×105036689² = 22065412072165442, which contains 22 as substring.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (105036889) 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, 52518344 + 52518345.

It is an arithmetic number, because the mean of its divisors is an integer number (52518345).

Almost surely, 2^105036689 is an apocalyptic number.

It is an amenable number.

105036689 is a deficient number, since it is larger than the sum of its proper divisors (1).

105036689 is an equidigital number, since it uses as much as digits as its factorization.

105036689 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 38880, while the sum is 38.

The square root of 105036689 is about 10248.7408494898. The cubic root of 105036689 is about 471.8243400375.

The spelling of 105036689 in words is "one hundred five million, thirty-six thousand, six hundred eighty-nine".