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 10 times has more thawab… (Majma'ul Bayan p. 36)
Or in another tradition, the Prophet (peace be upon him and his household) said:
the best Ebadah of my Ummah is reciting of the Quran. (Wasaelul-Shia, vol. 6, p. 168)
But I wonder if it is mandatory (wajib) for a Muslim to recite it or it is just as a recommended practice (except reciting the Quran during the salah)