I have heard many traditions concerning reciting the noble Quran and I know it has much thawab if we recite it. For instance, there is a narration from the apostle of Allah (pbuh) that said:

Whoever recites a letter from the holy Quran, it will be written for him a Hassanah that 10times has more thawab…  .(Majma'ul Bayan Page36)

Or in another tradition, the prophet (pbuh) said: the best Ebadah of my Ummah is reciting of the Quran. (Wasaelul-Shia, Vol.6, Pg.168)

But I wonder if it is mandatory (Wajib) for a Muslim to recite it or it is just recommended (except reciting the Quran during the salah)