I made a clean install of Windows 10 a few days ago and iTunes installed without any issue at all. It is no consolation, but you can't really gauge how many people install iTunes successfully by looking at the forum for people who have trouble with it. As a matter of interest is your version of Windows 10 32-bit or 64-bit, and if it was upgraded from an earlier version of Windows which was it?
For general advice see Troubleshooting issues with iTunes for Windows updates.
The steps in the second box are a guide to removing everything related to iTunes and then rebuilding it which is often a good starting point unless the symptoms indicate a more specific approach.
Review the other boxes and the list of support documents further down the page in case one of them applies.
The further information area has direct links to the current and recent builds in case you have problems downloading, need to revert to an older version or want to try the iTunes for Windows (64-bit - for older video cards) release as a workaround for installation or performance issues, or compatibility with QuickTime or third party software.
Your library and device backups should be unaffected by these steps but there are also links to backup and recovery advice should it be needed.
If the issue persists and you have a 64-bit system try the for older video cards version which is a 64-bit installer for mostly 32-bit code, similar to all 64-bit versions of iTunes up to 12.1.
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