Earlier quoted context omitted.
I have worked at banks and fintechs for the past 30 years and honestly have never used anything but a doubles for money with no issues (and a simpler code base.) I understand the sentiment and the potential issues, but it's really kind of domain dependent.
Is storing $1.05 really that much simpler than storing something as 105? Use a long to store money, pretty easy.
1. You might need a different number of "implied decimals". Two decimals is enough for many currencies, but some are three, quite a few are zero, and a few are a janky 1-decimal model. And that doesn't even go near, say, pre-1971 GBP structures.
You'll have to put scaling logic on every interface with the outside world.
2. Even if you do it perfectly, it's going to change. For example, the subsidiary unit on the Icelandic Krona is being removed in a lot of financial APIs right now. You can either change your records, or change your scaling logic, but you've now got an inflection point where you can't reason about the behaviour before the changeover from the current code.
What you need is a decimal type, where you can have 6.33 dollars, 2.167 dinars, or 500 won, and have them all retain fidelity. Sadly, few popular languages provide it.