105305381 has 2 divisors, whose sum is σ = 105305382. Its totient is φ = 105305380.

The previous prime is 105305377. The next prime is 105305401. The reversal of 105305381 is 183503501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 75777025 + 29528356 = 8705^2 + 5434^2 .

It is a cyclic number.

It is not a de Polignac number, because 105305381 - 2² = 105305377 is a prime.

It is a super-2 number, since 2×105305381² = 22178446535110322, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105305381.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105305281) 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, 52652690 + 52652691.

It is an arithmetic number, because the mean of its divisors is an integer number (52652691).

Almost surely, 2^105305381 is an apocalyptic number.

It is an amenable number.

105305381 is a deficient number, since it is larger than the sum of its proper divisors (1).

105305381 is an equidigital number, since it uses as much as digits as its factorization.

105305381 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1800, while the sum is 26.

The square root of 105305381 is about 10261.8410141651. The cubic root of 105305381 is about 472.2263185578.

Adding to 105305381 its reverse (183503501), we get a palindrome (288808882).

The spelling of 105305381 in words is "one hundred five million, three hundred five thousand, three hundred eighty-one".