I was posting a brief comment and as I submit I realised it had become longer and maybe I might as well post as answer.
From what I've read from various sources including Pavel, working at 50% of ones max capacity and not to failure is best for growth, recovery & repeated stimulus/ training.
We don't know if 100 is your max to failure. But let's say if you can do 1 set of 10 pull-ups max, the.
You're better off doing multiple sets of 4/5 that are spread out to prevent failure; the spread can be over a workout or a day or many sets through the week; provided you get recovery between the 50% Sets.
So spread is on your recovery ability to work again while avoiding the negatives of working to failure.
So you get to overall put in more work, resulting in greater growth in capacity.
Of course the caveat is don't do heavy workout during lunch or around hot afternoons. It's better work the body mornings/ evenings when body & nature are both less prone to heating up; timing for better capacity and recovery.
Ps: Don't negative vote if you just want references. I will post some when I'm at a PC. Doing it from the phone is a pain. But I figured if I start the post it will help
There lots of books with chapters on this concept and articles but finding them and reading them is gonna take longer. So I am linking to experts who are actually talking about it for now; they also mention Pavel's concepts
And for all your focus on 100 push ups I am wondering how you missed this: