The Sudanese military ousted the country's long-time president on 11 April 2019 after months of protests by the country's citizens, demanding his resignation.
Reuters said prosecutors would "question the former president in Kobar prison".
The source said military intelligence searched Mr Bashir's home and found suitcases loaded with more than $10 million in the three currencies: $US351,000 ($490,000), 6 million euros ($8.38 million), and 5 million Sudanese pounds ($150,000).
'The chief public prosecutor. ordered the (former) president detained and quickly questioned in preparation to put him on trial, ' they said.
Part of the cash was packed in sacks designed for 50kg of maize meal, according to Dabanga, Netherlands-based media outlet.
The money, which Radio Dabanga says was shown to reporters, was stuffed in bags created to contain 50kg (110lbs) of grain.
Protest leaders were to hold talks Saturday with Sudan's military rulers who have so far resisted calls to transfer power to a civilian administration, leading figures in the protest movement said.
The association has vowed to stay on the streets until there is a move to civilian rule.
Protesters carry posters featuring photos of the martyrs as thousands marched toward the main sit-in outside the military headquarters in Khartoum, Sudan, Saturday, April 20, 2019.
Each day concessions are announced, but there's little proof that what's been promised has been delivered.
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Sudan's recently ousted president is being investigated for money laundering after security services claimed to have found £100 million in cash at his home.
As president, al-Bashir often played up his humble beginnings as the child of a poor farming family in Hosh Bannaga, a small village consisting mainly of mud houses on the eastern bank of the Nile some 150km north of Khartoum.
Mr Bashir, who ruled Sudan for nearly 30 years, is wanted by the International Criminal Court (ICC) for alleged war crimes in the country's western Darfur region.
Uganda would consider offering the deposed leader asylum if he applied, the country's Minister for Foreign Affairs Henry Oryem Okello told Reuters.
What's the latest with the protesters?
It came moments before Sudanese authorities are reported to have arrested several top military leaders from who served during the al-Bashir's near 30 year presidency.
"Five representatives from the alliance will go today to the military council to discuss with them the transfer of power to a civilian rule", Ahmed al-Rabia told AFP.
It is the third such meeting between them, with no sign of a breakthrough to end the deadlock.
A transitional military council assumed power last week. Some opposition groups say as many as 60 died.