Nashua is located at 48°8.1′N 106°21.6′W (48.1344, -106.3598).
According to the United States Census Bureau, the town has a total area of 0.66 square miles (1.71 km2), all of it land.
According to the Köppen Climate Classification system, Nashua has a semi-arid climate, abbreviated "BSk" on climate maps.
As of the census of 2010, there were 290 people, 136 households, and 85 families residing in the town. The population density was 439.4 inhabitants per square mile (169.7/km2). There were 183 housing units at an average density of 277.3 per square mile (107.1/km2). The racial makeup of the town was 94.5% White, 2.8% Native American, 0.3% Asian, 0.3% from other races, and 2.1% from two or more races. Hispanic or Latino of any race were 1.4% of the population.
There were 136 households of which 23.5% had children under the age of 18 living with them, 50.0% were married couples living together, 6.6% had a female householder with no husband present, 5.9% had a male householder with no wife present, and 37.5% were non-families. 35.3% of all households were made up of individuals and 14% had someone living alone who was 65 years of age or older. The average household size was 2.13 and the average family size was 2.66.
The median age in the town was 50.8 years. 19.7% of residents were under the age of 18; 4.4% were between the ages of 18 and 24; 18.9% were from 25 to 44; 35.4% were from 45 to 64; and 21.4% were 65 years of age or older. The gender makeup of the town was 53.1% male and 46.9% female.
As of the census of 2000, there were 325 people, 166 households, and 92 families residing in the town. The population density was 489.1 people per square mile (190.1/km²). There were 195 housing units at an average density of 293.4 per square mile (114.1/km²). The racial makeup of the town was 92.00% White, 0.31% African American, 5.54% Native American, 0.31% Asian, 0.31% from other races, and 1.54% from two or more races. Hispanic or Latino of any race were 2.15% of the population.
There were 166 households out of which 15.1% had children under the age of 18 living with them, 50.0% were married couples living together, 1.2% had a female householder with no husband present, and 44.0% were non-families. 41.0% of all households were made up of individuals and 21.7% had someone living alone who was 65 years of age or older. The average household size was 1.96 and the average family size was 2.61.
In the town, the population was spread out with 14.8% under the age of 18, 6.2% from 18 to 24, 21.2% from 25 to 44, 32.0% from 45 to 64, and 25.8% who were 65 years of age or older. The median age was 49 years. For every 100 females there were 127.3 males. For every 100 females age 18 and over, there were 16.4 males.
The median income for a household in the town was $26,827, and the median income for a family was $35,000. Males had a median income of $26,250 versus $17,188 for females. The per capita income for the town was $15,452. About 1.0% of families and 4.3% of the population were below the poverty line, including none of those under age 18 and 5.3% of those age 65 or over.
Despite the small number of students in the town's high school (7-12 in a graduating class), basketball, track and field, volleyball, cheerleading as well as American football are accessible to all students because of cooperation with a neighboring high school. The school also offers the possibility of joining the Art Club or the FCCLA (Family, Career and Community Leaders of America) Club.