I managed to get this update only after finding the IPSW from here
www.ithinkdiff.com
For the IPP 10.5... then I had to use 3UTOOLS, Easy Flash, Retain all my data...
In the end I even got this screen (which meant nothing, it ended all OK):
If your iPhone is stuck on attempting data recovery screen, don’t worry, here we are going to share with you 4 proven methods to resolve this problem as quickly as possible.
www.ultfone.com
Apparently Apple did something wrong, because to my device it wasn't installed at all, it managed to download, but failed when I sent a green light to finish the process of installing.