105520 has 20 divisors (see below), whose sum is σ = 245520. Its totient is φ = 42176.

The previous prime is 105517. The next prime is 105527. The reversal of 105520 is 25501.

It is a tau number, because it is divible by the number of its divisors (20).

It is a super-2 number, since 2×105520² = 22268940800, which contains 22 as substring.

It is a zygodrome in base 2.

It is a self number, because there is not a number n which added to its sum of digits gives 105520.

It is not an unprimeable number, because it can be changed into a prime (105527) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 580 + ... + 739.

It is an arithmetic number, because the mean of its divisors is an integer number (12276).

2¹⁰⁵⁵²⁰ is an apocalyptic number.

105520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105520 is an abundant number, since it is smaller than the sum of its proper divisors (140000).

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

105520 is a wasteful number, since it uses less digits than its factorization.

105520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1332 (or 1326 counting only the distinct ones).

The product of its (nonzero) digits is 50, while the sum is 13.

The square root of 105520 is about 324.8384213728. The cubic root of 105520 is about 47.2546909856.

Adding to 105520 its product of nonzero digits (50), we get a triangular number (105570 = T₄₅₉).

It can be divided in two parts, 105 and 520, that added together give a 4-th power (625 = 5⁴).

The spelling of 105520 in words is "one hundred five thousand, five hundred twenty".