As others here have pointed out, the key to getting Hamachi to install correctly is cleaning up the registry.
My experiences with Hamachi are detailed here in the thread, and the thing that finally eliminated all the problems I had been having was to clear out of the Windows registry all Hamachi entries that Hamachi should (but doesn't) clean out itself. Once that's done and the Hamachi install is performed, you should be good to go.
I did this registry-cleaning a few builds before the Windows 10 "RTM" release, and I haven't had a single problem with Hamachi working since then, despite the fact that I have been through at least a half dozen W10 builds/update since then. Every time I get a new build from Microsoft, Hamachi continues to work perfectly, without any intervention from me.
I have suggested before that Hamachi developers need to take a hard look at how their uninstall program works in terms of registry entry removal. From the continuing reports of install problems, it seems that maybe that hasn't happened.