109311 has 8 divisors (see below), whose sum is σ = 147840. Its totient is φ = 71832.

The previous prime is 109303. The next prime is 109313. The reversal of 109311 is 113901.

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

It is not a de Polignac number, because 109311 - 2³ = 109303 is a prime.

109311 is a lucky number.

It is a plaindrome in base 4 and base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (109313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 30 + ... + 468.

It is an arithmetic number, because the mean of its divisors is an integer number (18480).

2¹⁰⁹³¹¹ is an apocalyptic number.

109311 is a deficient number, since it is larger than the sum of its proper divisors (38529).

109311 is an equidigital number, since it uses as much as digits as its factorization.

109311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 525.

The product of its (nonzero) digits is 27, while the sum is 15.

The square root of 109311 is about 330.6221408194. The cubic root of 109311 is about 47.8139499325.

The spelling of 109311 in words is "one hundred nine thousand, three hundred eleven".