105327 has 16 divisors (see below), whose sum is σ = 161280. Its totient is φ = 67896.

The previous prime is 105323. The next prime is 105331. The reversal of 105327 is 723501.

Added to its reverse (723501) it gives a triangular number (828828 = T₁₂₈₇).

It is an interprime number because it is at equal distance from previous prime (105323) and next prime (105331).

It is not a de Polignac number, because 105327 - 2² = 105323 is a prime.

It is a super-2 number, since 2×105327² = 22187553858, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105323) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1228 + ... + 1310.

It is an arithmetic number, because the mean of its divisors is an integer number (10080).

2¹⁰⁵³²⁷ is an apocalyptic number.

105327 is a deficient number, since it is larger than the sum of its proper divisors (55953).

105327 is an equidigital number, since it uses as much as digits as its factorization.

105327 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 210, while the sum is 18.

The square root of 105327 is about 324.5412146400. The cubic root of 105327 is about 47.2258632077.

Adding to 105327 its reverse (723501), we get a palindrome (828828).

The spelling of 105327 in words is "one hundred five thousand, three hundred twenty-seven".