105331 has 2 divisors, whose sum is σ = 105332. Its totient is φ = 105330.

The previous prime is 105323. The next prime is 105337. The reversal of 105331 is 133501.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 105331 - 2³ = 105323 is a prime.

It is a super-2 number, since 2×105331² = 22189239122, which contains 22 as substring.

It is a Chen prime.

It is equal to p₁₀₀₄₈ and since 105331 and 10048 have the same sum of digits, it is a Honaker prime.

It is not a weakly prime, because it can be changed into another prime (105337) 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 as a sum of consecutive naturals, namely, 52665 + 52666.

It is an arithmetic number, because the mean of its divisors is an integer number (52666).

2¹⁰⁵³³¹ is an apocalyptic number.

105331 is a deficient number, since it is larger than the sum of its proper divisors (1).

105331 is an equidigital number, since it uses as much as digits as its factorization.

105331 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 45, while the sum is 13.

The square root of 105331 is about 324.5473771270. The cubic root of 105331 is about 47.2264610318.

Adding to 105331 its reverse (133501), we get a palindrome (238832).

The spelling of 105331 in words is "one hundred five thousand, three hundred thirty-one".