Actually it was called the CBX 1050. 
In Canada it was sold as just the CB-X. Still my favourite bike of all that I owned. Some caveats about them..
The chassis is far below the ability of the engine. Honda built an engine with far more power than any other bike and slapped it in a standard sport bike chassis. Stock, it corners like it has a hinge in the middle and too many of them were crashed because of that. New forks, new swing arm and new rear shocks solve 99% of that. Better brakes are nice too.
The engine is amazing. Smoother than other motorcycle, ever. The power delivery is pure race bike. A better exhaust and it sounds like an F1 car at full song. But, it has six carbs and keeping them sync'd can be a little challenging. Once set up properly, you're good to go for quite a while, but it's a little bit of wizardry to get there. The valves are shim and buckets and doing an adjustment is a serious PITA, but again, once set up, you're good to go for some time.
Some people love the sport touring version with the fairing and bags because it is an amazing long distance bike. I rode one once and Honda tried to work around the handling issues with a new rear suspension for the Touring version but it didn't help much. I much prefer the standard version.
The bike is under-tired and you'll probably have to live with smallish tires compared to modern bikes. Because of that, buy the stickiest ones you can get in the size.
Okay, those points ar mostly negative. The bike, even stock, can be hella fun if you "point and shoot." Keep cornering speeds reasonable and don't use the throttle mid corner, and even stock, the bike can be ridden at a good clip. After the exit, open the throttle and grin, especially if you've got a better exhaust.
105hp isn't earth shattering today (that was rwhp though) but back in 1979 fast bikes were making 80hp. Being s mid 11 second bike means you aren't exactly riding a moped even when up against a lot of modern bikes. There is also no bike I've ever launched more easily. That's where that big engine really worked. Super easy to get off the line and keep the front down.
There's not many of them left, and people want them, so prices are getting higher and I regret not buying one when they were still unloved and cheap. The bike/car I regret selling the most is the CBX, hand down.
