A liquid drop of radius \(R = 0.1 \, \text{m}\) having surface tension \(S = \frac{0.01}{4\pi} \, \text{N/m}\) divides itself into \(n\) identical drops. In the process, the total change in the surface energy \(\Delta U = 10^{-4} \, \text{J}\). The value of \(n\) is