How many 8-digit palindromic numbers are composite (i.e. not prime)?
Details and Assumptions:
- A palindromic number is a number that remains the same when its digits are reversed: for example, \(77\) and \(15851.\)
- Assume that numbers are written without leading zeros. For instance, \(00022000\) is not a valid 8-digit palindrome, but \(10000001\) is.