105321 has 4 divisors (see below), whose sum is σ = 140432. Its totient is φ = 70212.

The previous prime is 105319. The next prime is 105323. The reversal of 105321 is 123501.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is an interprime number because it is at equal distance from previous prime (105319) and next prime (105323).

It is not a de Polignac number, because 105321 - 2¹ = 105319 is a prime.

It is a super-2 number, since 2×105321² = 22185026082, which contains 22 as substring.

It is a D-number.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 105297 and 105306.

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 3 ways as a sum of consecutive naturals, for example, 17551 + ... + 17556.

It is an arithmetic number, because the mean of its divisors is an integer number (35108).

2¹⁰⁵³²¹ is an apocalyptic number.

It is an amenable number.

105321 is a deficient number, since it is larger than the sum of its proper divisors (35111).

105321 is an equidigital number, since it uses as much as digits as its factorization.

105321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35110.

The product of its (nonzero) digits is 30, while the sum is 12.

The square root of 105321 is about 324.5319706901. The cubic root of 105321 is about 47.2249664431.

Adding to 105321 its reverse (123501), we get a palindrome (228822).

The spelling of 105321 in words is "one hundred five thousand, three hundred twenty-one".