Without doing heavy calculations, calculate $11^{5}$.
According to the binomial theorem,

$$
\begin{aligned}
11^{5}=(10+1)^{5} & =10^{5}+5 \times 10^{4}+10 \times 10^{3}+10 \times 10^{2}+5 \times 10+1 \\
& =100000+50000+10000+1000+50+1 \\
& =161051
\end{aligned}
$$