103971 has 8 divisors (see below), whose sum is σ = 158464. Its totient is φ = 59400.

The previous prime is 103969. The next prime is 103979. The reversal of 103971 is 179301.

103971 = T₂₃ + T₂₄ + ... + T₈₅.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 103971 - 2¹ = 103969 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21), and also a Moran number because the ratio is a prime number: 4951 = 103971 / (1 + 0 + 3 + 9 + 7 + 1).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (103979) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2455 + ... + 2496.

It is an arithmetic number, because the mean of its divisors is an integer number (19808).

2¹⁰³⁹⁷¹ is an apocalyptic number.

103971 is a deficient number, since it is larger than the sum of its proper divisors (54493).

103971 is an equidigital number, since it uses as much as digits as its factorization.

103971 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4961.

The product of its (nonzero) digits is 189, while the sum is 21.

The square root of 103971 is about 322.4453442058. The cubic root of 103971 is about 47.0223222772.

The spelling of 103971 in words is "one hundred three thousand, nine hundred seventy-one".