105305363 has 2 divisors, whose sum is σ = 105305364. Its totient is φ = 105305362.

The previous prime is 105305297. The next prime is 105305377. The reversal of 105305363 is 363503501.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 105305363 - 2⁸ = 105305107 is a prime.

It is a super-2 number, since 2×105305363² = 22178438953123538, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (105304363) 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, 52652681 + 52652682.

It is an arithmetic number, because the mean of its divisors is an integer number (52652682).

Almost surely, 2^105305363 is an apocalyptic number.

105305363 is a deficient number, since it is larger than the sum of its proper divisors (1).

105305363 is an equidigital number, since it uses as much as digits as its factorization.

105305363 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4050, while the sum is 26.

The square root of 105305363 is about 10261.8401371294. The cubic root of 105305363 is about 472.2262916517.

Adding to 105305363 its reverse (363503501), we get a palindrome (468808864).

The spelling of 105305363 in words is "one hundred five million, three hundred five thousand, three hundred sixty-three".