108563 has 8 divisors (see below), whose sum is σ = 133728. Its totient is φ = 85824.

The previous prime is 108557. The next prime is 108571. The reversal of 108563 is 365801.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 108563 - 2⁶ = 108499 is a prime.

It is a plaindrome in base 15.

It is not an unprimeable number, because it can be changed into a prime (108503) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 506 + ... + 687.

It is an arithmetic number, because the mean of its divisors is an integer number (16716).

2¹⁰⁸⁵⁶³ is an apocalyptic number.

108563 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

108563 is a deficient number, since it is larger than the sum of its proper divisors (25165).

108563 is a wasteful number, since it uses less digits than its factorization.

108563 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1213.

The product of its (nonzero) digits is 720, while the sum is 23.

The square root of 108563 is about 329.4889982989. The cubic root of 108563 is about 47.7046388110.

The spelling of 108563 in words is "one hundred eight thousand, five hundred sixty-three".