Ask me for a roundup of every one I own. I have nearly all if them.
That is a 2.4 Ghz keyboard - touchpad combo from Ipazzport - very early model without branding - one of their originals. It has a laser button on the side and the touchpad is very responsive but only single touch in that one. No scroll zone or multitouch scrolling. All keys are tactile click - even the directional rockers. All very satisfying to thumb-type on.
Link to the latest modelIt has been cloned by Rii and multiple off-brands and comes in laser enabled off the side or nerfed variety. Build quality seems the same over any supplier - the weak point is the power switch - it can pop out and require a toothpick or tweezer to power it on or off. Love it's portability and battery life. I still include one as the emergency keyboard on my custom arcade cabs in the cubby box because of the price and quality while still being so small.
My brother still has that one and its battery is still fine for weeks without a charge.
If you want that same one for price or the model number I'd be happy to hook you up when I'm home next week. My experience with the clones has been good, but there's so many clones that I'd be cautious when buying similar looking hardware.