105931 has 8 divisors (see below), whose sum is σ = 124640. Its totient is φ = 88128.

The previous prime is 105929. The next prime is 105943. The reversal of 105931 is 139501.

105931 = 120² + 121² + ... + 126².

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

It is a cyclic number.

It is not a de Polignac number, because 105931 - 2¹ = 105929 is a prime.

It is a super-2 number, since 2×105931² = 22442753522, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 105899 and 105908.

It is not an unprimeable number, because it can be changed into a prime (105971) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 55 + ... + 463.

It is an arithmetic number, because the mean of its divisors is an integer number (15580).

2¹⁰⁵⁹³¹ is an apocalyptic number.

105931 is a deficient number, since it is larger than the sum of its proper divisors (18709).

105931 is an equidigital number, since it uses as much as digits as its factorization.

105931 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 453.

The product of its (nonzero) digits is 135, while the sum is 19.

The square root of 105931 is about 325.4704287643. The cubic root of 105931 is about 47.3159637826.

The spelling of 105931 in words is "one hundred five thousand, nine hundred thirty-one".