It was a Monday, as was the first day of the year for 1900.
1900 was NOT a leap year, even though 1900 is divisible by 4, as for years ending in 00, the first two digits must also be divisible by 4 (eg. 1600, 2000, 2400). January 1 (and 29) in 1901 fell on a Tuesday.
January 29 2009 was a Thursday.
29 January 1959 was a Thursday.
January 29 1978 was a Sunday.
January 29 1931 was a Thursday.
January 29 2010 was a Friday.
January 29 1946 was a Tuesday.
January 29 1977 was a Saturday.
January 29, 1960 fell on a Friday.
January 29, 1975 fell on a Wednesday.
January 29, 1979 fell on a Monday.
January 29 1956 was a Sunday.
January 29, 1995 fell on a Sunday.