Oh look, it's the same stupid questions every time renewable energy comes up.
And it's the same answers:
1. Storage is getting better and feasible in more scenarios, but everyone understands it is a limitation.
2. Solar isn't the only form of renewable energy; it's just the easiest to deploy in developed residential/commercial areas.
3. Replacement of fossil fuels is a long-term goal. Reduction is the immediate goal.
4. If batteries are recycled properly, their environmental impact is low.
On a cloudy day, those "10 nuclear reactors" may only provide the energy of 2-8 reactors, depending on the severity of the cloud cover, but it is still a much better than 0.
Also, if your panels are spread enough and connected to a distribution grid, then it doesn't matter. It can't be cloudy everywhere. Distribution may be the real-world answer to the "storage" problem.