105311363 has 2 divisors, whose sum is σ = 105311364. Its totient is φ = 105311362.

The previous prime is 105311359. The next prime is 105311407. The reversal of 105311363 is 363113501.

It is a happy number.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 105311363 - 2² = 105311359 is a prime.

It is a super-2 number, since 2×105311363² = 22180966353835538, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (105311303) 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, 52655681 + 52655682.

It is an arithmetic number, because the mean of its divisors is an integer number (52655682).

Almost surely, 2^105311363 is an apocalyptic number.

105311363 is a deficient number, since it is larger than the sum of its proper divisors (1).

105311363 is an equidigital number, since it uses as much as digits as its factorization.

105311363 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 810, while the sum is 23.

The square root of 105311363 is about 10262.1324781938. The cubic root of 105311363 is about 472.2352601849.

Adding to 105311363 its reverse (363113501), we get a palindrome (468424864).

The spelling of 105311363 in words is "one hundred five million, three hundred eleven thousand, three hundred sixty-three".