105320 has 16 divisors (see below), whose sum is σ = 237060. Its totient is φ = 42112.

The previous prime is 105319. The next prime is 105323. The reversal of 105320 is 23501.

It can be written as a sum of positive squares in 2 ways, for example, as 98596 + 6724 = 314^2 + 82^2 .

It is a super-2 number, since 2×105320² = 22184604800, which contains 22 as substring.

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, 1277 + ... + 1356.

2¹⁰⁵³²⁰ is an apocalyptic number.

105320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105320 is an abundant number, since it is smaller than the sum of its proper divisors (131740).

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

105320 is a wasteful number, since it uses less digits than its factorization.

105320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2644 (or 2640 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 11.

The square root of 105320 is about 324.5304300062. The cubic root of 105320 is about 47.2248169790.

Adding to 105320 its reverse (23501), we get a palindrome (128821).

The spelling of 105320 in words is "one hundred five thousand, three hundred twenty".