C++ Limit typedef to numbers

What I mean is this, I have a function in c++ where I want to deposit money into an account. This function should be able to accept floats, doubles, integers, etc. as these are all valid forms of an input, as all I need is a number to deposit.

Thus, I declared:

template <typedef type>
void Deposit(type t) {...}

Now the only issue I have is this: theoretically, a user of this class down the road could pass a char or string to this function and have unintended consequences of doing so. How would I go about restricting type to integers, floats, doubles and shorts? Is it possible to restrict this within the function definition so that others, when programming with this function get a compiler/linter error rather than having to use try{...} catch(...){...}?