105305321 has 8 divisors (see below), whose sum is σ = 114960000. Its totient is φ = 95664240.

The previous prime is 105305297. The next prime is 105305363. The reversal of 105305321 is 123503501.

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 105305321 - 2¹⁸ = 105043177 is a prime.

It is a super-2 number, since 2×105305321² = 22178421261826082, 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 = 105305293 and 105305302.

It is not an unprimeable number, because it can be changed into a prime (105305381) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19595 + ... + 24383.

It is an arithmetic number, because the mean of its divisors is an integer number (14370000).

Almost surely, 2^105305321 is an apocalyptic number.

105305321 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

105305321 is a deficient number, since it is larger than the sum of its proper divisors (9654679).

105305321 is a wasteful number, since it uses less digits than its factorization.

105305321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6799.

The product of its (nonzero) digits is 450, while the sum is 20.

The square root of 105305321 is about 10261.8380907126. The cubic root of 105305321 is about 472.2262288708.

Adding to 105305321 its reverse (123503501), we get a palindrome (228808822).

It can be divided in two parts, 10530 and 5321, that added together give a palindrome (15851).

The spelling of 105305321 in words is "one hundred five million, three hundred five thousand, three hundred twenty-one".