105257389 has 2 divisors, whose sum is σ = 105257390. Its totient is φ = 105257388.

The previous prime is 105257381. The next prime is 105257401. The reversal of 105257389 is 983752501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 70056900 + 35200489 = 8370^2 + 5933^2 .

It is a cyclic number.

It is not a de Polignac number, because 105257389 - 2³ = 105257381 is a prime.

It is a super-2 number, since 2×105257389² = 22158235878194642, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105257381) 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, 52628694 + 52628695.

It is an arithmetic number, because the mean of its divisors is an integer number (52628695).

Almost surely, 2^105257389 is an apocalyptic number.

It is an amenable number.

105257389 is a deficient number, since it is larger than the sum of its proper divisors (1).

105257389 is an equidigital number, since it uses as much as digits as its factorization.

105257389 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 75600, while the sum is 40.

The square root of 105257389 is about 10259.5023758465. The cubic root of 105257389 is about 472.1545699952.

The spelling of 105257389 in words is "one hundred five million, two hundred fifty-seven thousand, three hundred eighty-nine".