Fatto generale: 10823 is a number for which we're missing a fact (submit one to numbersapi at google mail!).
Fatto matematico: 10823 is a boring number.
Trivia: 10823 is an unremarkable number.
Data storica: August 18th is the day in 1590 that John White, the governor of the Colony of Roanoke, returns from a supply trip to England and finds his settlement deserted.