109971 has 8 divisors (see below), whose sum is σ = 162960. Its totient is φ = 73296.

The previous prime is 109961. The next prime is 109987. The reversal of 109971 is 179901.

109971 is nontrivially palindromic in base 8.

It is not a de Polignac number, because 109971 - 2⁷ = 109843 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27), and also a Moran number because the ratio is a prime number: 4073 = 109971 / (1 + 0 + 9 + 9 + 7 + 1).

It is not an unprimeable number, because it can be changed into a prime (109961) 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, 2010 + ... + 2063.

It is an arithmetic number, because the mean of its divisors is an integer number (20370).

2¹⁰⁹⁹⁷¹ is an apocalyptic number.

109971 is a deficient number, since it is larger than the sum of its proper divisors (52989).

109971 is an equidigital number, since it uses as much as digits as its factorization.

109971 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4082 (or 4076 counting only the distinct ones).

The product of its (nonzero) digits is 567, while the sum is 27.

The square root of 109971 is about 331.6187570087. The cubic root of 109971 is about 47.9099875589.

The spelling of 109971 in words is "one hundred nine thousand, nine hundred seventy-one".