The attackers at the market disguised themselves as food vendors, said Far North Governor Midjiyawa Bakari.
The 105 wounded are being treated at the hospital in the nearby town of Tokombere, some in critical condition, he said.
The other two attackers were targeting a school in Tokombere, but detonated their explosives in the bush about 1 kilometer from the school after they were identified, said teacher Mamoudou Gonit.
Boko Haram, an Islamic extremist group based in Nigeria, was suspected.
In its six-year insurgency, Boko Haram has killed more than 20,000 people and displaced 2.8 million in the region, according to the United Nations and Amnesty International.