105217963 has 2 divisors, whose sum is σ = 105217964. Its totient is φ = 105217962.

The previous prime is 105217961. The next prime is 105217969. The reversal of 105217963 is 369712501.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 105217963 - 2¹ = 105217961 is a prime.

It is a super-2 number, since 2×105217963² = 22141639475738738, which contains 22 as substring.

Together with 105217961, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (105217961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52608981 + 52608982.

It is an arithmetic number, because the mean of its divisors is an integer number (52608982).

Almost surely, 2^105217963 is an apocalyptic number.

105217963 is a deficient number, since it is larger than the sum of its proper divisors (1).

105217963 is an equidigital number, since it uses as much as digits as its factorization.

105217963 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 11340, while the sum is 34.

The square root of 105217963 is about 10257.5807576641. The cubic root of 105217963 is about 472.0956113765.

The spelling of 105217963 in words is "one hundred five million, two hundred seventeen thousand, nine hundred sixty-three".