A group of rich Qataris jetted into Kenya this week to scout for deals in the country.
The project is financed from the university's internal funds and donations.
Mr Pattni has been investing heavily in the city's land and property sector since January.
The project has 178 three-bedroom houses and 171 four-bedroom units.
Developers unveiling projects targeting people earning less than 30,000 a month.
114 applications were received for the 104 apartments that were being sold off-the-plan.
The facility will house banks, exhibition halls, food outlets and venues for lectures.
The office block adopts green architecture.
Donald Trump, who has golf resorts around the world, is among 43 other interested parties.
The investors are required to complete the project over a maximum of six years.