Mehrban
Mehrban is treated as unisex. Regional practice varies: in some Persian-speaking areas it is more masculine, while in some South Asian families it is used for girls as well.
The word conveys virtues valued in Islam (kindness, mercy), but Mehrban itself is a Persian cultural name and not a Quranic proper name.
It combines 'mehr' (affection, also historically linked to the sun/deity Mithra in older Iranian contexts) with '-bān' (protector/keeper).
Yes; common short forms include Mehr or Mehru in informal contexts.
Mehrban appears in Persian literary and onomastic records; it is a classical Persian adjective/noun adopted as a personal name across Persianate societies.