KöMaL 2021 B5201

Let $1=d_1<d_2<\dots<d_k=n$ be the divisors of a positive integer $n$. Determine those composite numbers $n$ for which the numbers $d_1$, $d_1+d_2$, $d_1+d_2+d_3$, $\dots,$ $d_1+d_2+\dots+d_{k-1}$ all divide $n$.