106831 has 4 divisors (see below), whose sum is σ = 109152. Its totient is φ = 104512.

The previous prime is 106823. The next prime is 106853. The reversal of 106831 is 138601.

It is a semiprime because it is the product of two primes.

It is a cyclic number.

It is not a de Polignac number, because 106831 - 2³ = 106823 is a prime.

It is a super-2 number, since 2×106831² = 22825725122, which contains 22 as substring.

It is a Duffinian number.

106831 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 106799 and 106808.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106801) 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, 1090 + ... + 1183.

It is an arithmetic number, because the mean of its divisors is an integer number (27288).

2¹⁰⁶⁸³¹ is an apocalyptic number.

106831 is a deficient number, since it is larger than the sum of its proper divisors (2321).

106831 is an equidigital number, since it uses as much as digits as its factorization.

106831 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2320.

The product of its (nonzero) digits is 144, while the sum is 19.

The square root of 106831 is about 326.8501185559. The cubic root of 106831 is about 47.4495864022.

The spelling of 106831 in words is "one hundred six thousand, eight hundred thirty-one".