109663 has 2 divisors, whose sum is σ = 109664. Its totient is φ = 109662.

The previous prime is 109661. The next prime is 109673. The reversal of 109663 is 366901.

109663 is nontrivially palindromic in base 3.

It is a weak prime.

It is an emirp because it is prime and its reverse (366901) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 109663 - 2¹ = 109661 is a prime.

Together with 109661, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (109661) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 54831 + 54832.

It is an arithmetic number, because the mean of its divisors is an integer number (54832).

2¹⁰⁹⁶⁶³ is an apocalyptic number.

109663 is a deficient number, since it is larger than the sum of its proper divisors (1).

109663 is an equidigital number, since it uses as much as digits as its factorization.

109663 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 972, while the sum is 25.

The square root of 109663 is about 331.1540427052. The cubic root of 109663 is about 47.8652179566.

The spelling of 109663 in words is "one hundred nine thousand, six hundred sixty-three".