105957689 has 2 divisors, whose sum is σ = 105957690. Its totient is φ = 105957688.

The previous prime is 105957679. The next prime is 105957697. The reversal of 105957689 is 986759501.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 73273600 + 32684089 = 8560^2 + 5717^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-105957689 is a prime.

It is a super-2 number, since 2×105957689² = 22454063716441442, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (105957629) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52978844 + 52978845.

It is an arithmetic number, because the mean of its divisors is an integer number (52978845).

Almost surely, 2^105957689 is an apocalyptic number.

It is an amenable number.

105957689 is a deficient number, since it is larger than the sum of its proper divisors (1).

105957689 is an equidigital number, since it uses as much as digits as its factorization.

105957689 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 680400, while the sum is 50.

The square root of 105957689 is about 10293.5751320909. The cubic root of 105957689 is about 473.1993715436.

The spelling of 105957689 in words is "one hundred five million, nine hundred fifty-seven thousand, six hundred eighty-nine".