There are some monotheistic religions that believe that there is one god, but there are (or can be) parts to him (christianity is a good example). They don't believe that god is one and complete and indivisible.
Are there any verses in the tanakh or just the torah that prove that god is indivisible?
Some people use the verse "Hear o Israel: The Lord thy God is one god" as proof that god is one. But it doesn't necessarily contradict the idea that he can be divisible.