105385109 has 2 divisors, whose sum is σ = 105385110. Its totient is φ = 105385108.

The previous prime is 105385097. The next prime is 105385123. The reversal of 105385109 is 901583501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 105370225 + 14884 = 10265^2 + 122^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-105385109 is a prime.

It is a super-2 number, since 2×105385109² = 22212042397883762, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105385309) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52692554 + 52692555.

It is an arithmetic number, because the mean of its divisors is an integer number (52692555).

Almost surely, 2^105385109 is an apocalyptic number.

It is an amenable number.

105385109 is a deficient number, since it is larger than the sum of its proper divisors (1).

105385109 is an equidigital number, since it uses as much as digits as its factorization.

105385109 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 5400, while the sum is 32.

The square root of 105385109 is about 10265.7249622226. The cubic root of 105385109 is about 472.3454646131.

The spelling of 105385109 in words is "one hundred five million, three hundred eighty-five thousand, one hundred nine".