I don’t know what your comparison is. Here solar is about half that. I even managed to install solar on my roof for about 35EUR/MWh.
However, nuclear power is available 24 hours a day every day, rain or shine, summer or winter. To reach this level of availability a PV system would need to have battery back up. Let's be conservative and say 10 hours of battery is enough. This won't be enough during a hurricane or harsh winter weather with no sun for days, but let's assume 10 hours of battery is enough.
Now how much does the PV system's battery cost? I don't have figures for a 10 hour battery system. I do have an estimate based on a review of research literature for 6 hours of battery storage. According to [2], a 6 hour system in 2030 may cost under $180/Kwh. However, we've been talking Mwh not Kwh so this is $180,000/Mwh.
Unless you don't care about electricity when the sun isn't shining, nuclear is much cheaper.
[1] https://www.statista.com/statistics/493797/estimated-leveliz...
If you go to system-level energy cost with the constraint that it has to cover demand all the time then of course you end up with different numbers.
For me, I have a battery system. With the LCOE of about 65EUR/MWh. It's good for 6h in the winter and combined with solar probably good for the entire summer.
Your numbers for battery cost are for installed capacity, but you are not using the battery one time, you cycle it thousands of times and therefore need to divide that 180k number by a number between 1000 and 10000 most likely.
Problem for people in my latitude is seasonal storage, I don't believe batteries will ever be an efficient solution for that.
I do get spot market feed in pricing + a very generous feed-in subsidy, but this only accounts for making my payback period shorter and was not included in the cost of energy calculation mentioned.