eng Science and Education Publishing Turkish Journal of Analysis and Number Theory 2333-1232 2017-07-12 5 5 153 158 10.12691/tjant-5-5-2 TJANT2017552 article Khadija Mbarki 1 Walid Wannes wannes.walid.fss@gmail.com 2 Department of Mathematics, Faculty of Sciences of Monastir, Tunisia Faculté des sciences de Sfax, BP 1171, Sfax 3000, Tunisie Let be a positive integer and be the sum of the digits in basis q of the positive integer n. We prove that the quotient has a normal order one, where and are respectively, the number of distinct prime factors and the number of prime factors p of a positive integer n counted with multiplicity such that mod Moreover, we discuss sums of the form where f is a multiplicative function. http://pubs.sciepub.com/tjant/5/5/2/tjant-5-5-2.pdf sum-of-digits function uniform distribution modulo1 multiplicative function