Humans are suckers for round numbers. And 100 seems like a perfectly reasonable one to settle on. It's the first three-digit number (in Arabic numbers, that is; Romans were happy to hit a C note).
When it comes to £100 in the Sherlock Holmes stories, it's a figure often associated with some sort of scam — enough to get attention and secure the trust of the mark. Which stories feature £100 and what were the circumstances? It's just a Trifle.
If you have a question for us, please email us at trifles@ihearofsherlock.com. If you use your inquiry on the show, we'll send you a thank you gift.