105789413 has 2 divisors, whose sum is σ = 105789414. Its totient is φ = 105789412.

The previous prime is 105789379. The next prime is 105789427. The reversal of 105789413 is 314987501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 92121604 + 13667809 = 9598^2 + 3697^2 .

It is a cyclic number.

It is not a de Polignac number, because 105789413 - 2⁸ = 105789157 is a prime.

It is a super-2 number, since 2×105789413² = 22382799805769138, which contains 22 as substring.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105789493) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52894706 + 52894707.

It is an arithmetic number, because the mean of its divisors is an integer number (52894707).

Almost surely, 2^105789413 is an apocalyptic number.

It is an amenable number.

105789413 is a deficient number, since it is larger than the sum of its proper divisors (1).

105789413 is an equidigital number, since it uses as much as digits as its factorization.

105789413 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 30240, while the sum is 38.

The square root of 105789413 is about 10285.3980477179. The cubic root of 105789413 is about 472.9487360020.

It can be divided in two parts, 10578 and 9413, that added together give a palindrome (19991).

The spelling of 105789413 in words is "one hundred five million, seven hundred eighty-nine thousand, four hundred thirteen".