e/Completely multiplicative function

Information
has gloss	eng: Definition A completely multiplicative function (or totally multiplicative function) is an arithmetic function (that is, a function whose domain is the natural numbers), such that f(1) = 1 and f(ab) = f(a) f(b) holds for all positive integers a and b.
lexicalization	eng: completely multiplicative function
instance of	c/Multiplicative functions