I'm not sure if it is possible to determine the char number, but you can find the line number and position inside the line:
var document = XDocument.Load(fileName, LoadOptions.SetLineInfo);
var element = document.Descendants("nodeName").FirstOrDefault();
var xmlLineInfo = (IXmlLineInfo)element;
Console.WriteLine("Line: {0}, Position: {1}", xmlLineInfo.LineNumber, xmlLineInfo.LinePosition);
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