He died and left behind a mother, full siblings and half-brothers through his father

In the answer to the
question ( 21925 ), we stated that
if there is a male among the full siblings, the half-brothers through the
father do not inherit, according to scholarly consensus. 

Based on this, the estate in this case should be divided as
follows: 

The mother gets one-sixth, because of the verse in which
Allaah says (interpretation of the meaning): 

“if the deceased left brothers or (sisters), the mother
has a sixth”

[al-Nisa’ 4:11]

The remainder of the estate is shared among the full
siblings, both male and female, with each male getting twice the share of
each female, because Allaah says (interpretation of the meaning): 

“if there are brothers and sisters, the male will have
twice the share of the female”

[al-Nisa’ 4:176]

And Allaah knows best.