105351563 has 2 divisors, whose sum is σ = 105351564. Its totient is φ = 105351562.

The previous prime is 105351529. The next prime is 105351607. The reversal of 105351563 is 365153501.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 105351563 - 2⁸ = 105351307 is a prime.

It is a super-2 number, since 2×105351563² = 22197903653085938, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (105351503) 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, 52675781 + 52675782.

It is an arithmetic number, because the mean of its divisors is an integer number (52675782).

Almost surely, 2^105351563 is an apocalyptic number.

105351563 is a deficient number, since it is larger than the sum of its proper divisors (1).

105351563 is an equidigital number, since it uses as much as digits as its factorization.

105351563 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6750, while the sum is 29.

The square root of 105351563 is about 10264.0909485448. The cubic root of 105351563 is about 472.2953405723.

The spelling of 105351563 in words is "one hundred five million, three hundred fifty-one thousand, five hundred sixty-three".