The Spanish frigate Canarias found the migrants' vessel adrift today, according to the ministry, which says all 112 of the migrants were male and "the large majority" were from sub-Saharan Africa.
The frigate is participating in a joint European mission in the Mediterranean Sea to fight human trafficking.
Nearer the Spanish coast, the coast guard said its ships rescued 36 more migrants from two small overloaded boats today.
In Barcelona, thousands of Spaniards marched today to urge the conservative-led Spanish government to accept more refugees from war-torn areas like Syria.
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