105378589 has 2 divisors, whose sum is σ = 105378590. Its totient is φ = 105378588.

The previous prime is 105378527. The next prime is 105378593. The reversal of 105378589 is 985873501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 76702564 + 28676025 = 8758^2 + 5355^2 .

It is a cyclic number.

It is not a de Polignac number, because 105378589 - 2¹¹ = 105376541 is a prime.

It is a super-2 number, since 2×105378589² = 22209294039261842, 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 (105378989) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52689294 + 52689295.

It is an arithmetic number, because the mean of its divisors is an integer number (52689295).

Almost surely, 2^105378589 is an apocalyptic number.

It is an amenable number.

105378589 is a deficient number, since it is larger than the sum of its proper divisors (1).

105378589 is an equidigital number, since it uses as much as digits as its factorization.

105378589 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 302400, while the sum is 46.

The square root of 105378589 is about 10265.4073957150. The cubic root of 105378589 is about 472.3357233383.

The spelling of 105378589 in words is "one hundred five million, three hundred seventy-eight thousand, five hundred eighty-nine".