diff --git a/app.go b/app.go
index 1d0e108..a540cc1 100644
--- a/app.go
+++ b/app.go
@@ -5,6 +5,7 @@ import (
 	"log"
 	"os"
 	"path/filepath"
+	"sort"
 	"strings"
 
 	"github.com/charmbracelet/bubbles/progress"
@@ -138,6 +139,9 @@ type initUi struct {
 func (m *model) statFile() tea.Msg {
 	if m.IsDirectory {
 		entries, _ := os.ReadDir(m.Path)
+
+		sort.Sort(DirEntrySlice(entries))
+
 		for _, entry := range entries {
 			fullFilePath := filepath.Join(m.Path, entry.Name())
 
diff --git a/sort.go b/sort.go
new file mode 100644
index 0000000..337b23b
--- /dev/null
+++ b/sort.go
@@ -0,0 +1,85 @@
+package main
+
+import (
+	"io/fs"
+	"strconv"
+)
+
+// Less does a 'natural' comparison on the two strings.
+//
+// This is occasionally nicknamed 'natsort'.
+//
+// It treats decimal numbers as value, so that Less("10", "2") return true.
+func Less(a, b string) bool {
+	for {
+		if a == b {
+			return false
+		}
+		if p := commonPrefix(a, b); p != 0 {
+			a = a[p:]
+			b = b[p:]
+		}
+		if ia := digits(a); ia > 0 {
+			if ib := digits(b); ib > 0 {
+				// Both sides have digits.
+				an, aerr := strconv.ParseUint(a[:ia], 10, 64)
+				bn, berr := strconv.ParseUint(b[:ib], 10, 64)
+				if aerr == nil && berr == nil {
+					if an != bn {
+						return an > bn
+					}
+					// Semantically the same digits, e.g. "00" == "0", "01" == "1". In
+					// this case, only continue processing if there's trailing data on
+					// both sides, otherwise do lexical comparison.
+					if ia != len(a) && ib != len(b) {
+						a = a[ia:]
+						b = b[ib:]
+						continue
+					}
+				}
+			}
+		}
+		return a < b
+	}
+}
+
+// DirEntrySlice attaches the methods of Interface to []string, sorting in
+// increasing order using natural order.
+type DirEntrySlice []fs.DirEntry
+
+func (p DirEntrySlice) Len() int           { return len(p) }
+func (p DirEntrySlice) Less(i, j int) bool { return Less(p[i].Name(), p[j].Name()) }
+func (p DirEntrySlice) Swap(i, j int)      { p[i], p[j] = p[j], p[i] }
+
+//
+
+// commonPrefix returns the common prefix except for digits.
+func commonPrefix(a, b string) int {
+	m := len(a)
+	if n := len(b); n < m {
+		m = n
+	}
+	if m == 0 {
+		return 0
+	}
+	_ = a[m-1]
+	_ = b[m-1]
+	for i := 0; i < m; i++ {
+		ca := a[i]
+		cb := b[i]
+		if (ca >= '0' && ca <= '9') || (cb >= '0' && cb <= '9') || ca != cb {
+			return i
+		}
+	}
+	return m
+}
+
+func digits(s string) int {
+	for i := 0; i < len(s); i++ {
+		c := s[i]
+		if c < '0' || c > '9' {
+			return i
+		}
+	}
+	return len(s)
+}