105328 has 20 divisors (see below), whose sum is σ = 212040. Its totient is φ = 50624.

The previous prime is 105323. The next prime is 105331. The reversal of 105328 is 823501.

It is a happy number.

It is a super-2 number, since 2×105328² = 22187975168, which contains 22 as substring.

It is an Ulam number.

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 3 ways as a sum of consecutive naturals, for example, 351 + ... + 577.

It is an arithmetic number, because the mean of its divisors is an integer number (10602).

2¹⁰⁵³²⁸ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106020).

105328 is an abundant number, since it is smaller than the sum of its proper divisors (106712).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

105328 is a wasteful number, since it uses less digits than its factorization.

105328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264 (or 258 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 19.

The square root of 105328 is about 324.5427552727. The cubic root of 105328 is about 47.2260126651.

Adding to 105328 its reverse (823501), we get a palindrome (928829).

It can be divided in two parts, 1053 and 28, that added together give a triangular number (1081 = T₄₆).

The spelling of 105328 in words is "one hundred five thousand, three hundred twenty-eight".