107311 has 4 divisors (see below), whose sum is σ = 108000. Its totient is φ = 106624.

The previous prime is 107309. The next prime is 107323. The reversal of 107311 is 113701.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It is a cyclic number.

It is not a de Polignac number, because 107311 - 2¹ = 107309 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 107291 and 107300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107351) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 15 + ... + 463.

It is an arithmetic number, because the mean of its divisors is an integer number (27000).

2¹⁰⁷³¹¹ is an apocalyptic number.

107311 is the 147-th centered decagonal number.

107311 is a deficient number, since it is larger than the sum of its proper divisors (689).

107311 is an equidigital number, since it uses as much as digits as its factorization.

107311 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 688.

The product of its (nonzero) digits is 21, while the sum is 13.

The square root of 107311 is about 327.5835771219. The cubic root of 107311 is about 47.5205451290.

The spelling of 107311 in words is "one hundred seven thousand, three hundred eleven", and thus it is an iban number.