311106 has 16 divisors (see below), whose sum is σ = 655200. Its totient is φ = 98208.

The previous prime is 311099. The next prime is 311111. The reversal of 311106 is 601113.

311106 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 311091 and 311100.

It is an unprimeable number.

311106 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1251 + ... + 1478.

It is an arithmetic number, because the mean of its divisors is an integer number (40950).

2³¹¹¹⁰⁶ is an apocalyptic number.

311106 is an abundant number, since it is smaller than the sum of its proper divisors (344094).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

311106 is a wasteful number, since it uses less digits than its factorization.

311106 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2753.

The product of its (nonzero) digits is 18, while the sum is 12.

The square root of 311106 is about 557.7687692942. The cubic root of 311106 is about 67.7593860536.

Adding to 311106 its reverse (601113), we get a palindrome (912219).

The spelling of 311106 in words is "three hundred eleven thousand, one hundred six".