105528 has 16 divisors (see below), whose sum is σ = 263880. Its totient is φ = 35168.

The previous prime is 105527. The next prime is 105529. The reversal of 105528 is 825501.

It is an interprime number because it is at equal distance from previous prime (105527) and next prime (105529).

It is a super-2 number, since 2×105528² = 22272317568, which contains 22 as substring.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105527) 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, 2175 + ... + 2222.

2¹⁰⁵⁵²⁸ is an apocalyptic number.

It is an amenable number.

105528 is an abundant number, since it is smaller than the sum of its proper divisors (158352).

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

105528 is a wasteful number, since it uses less digits than its factorization.

105528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4406 (or 4402 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 21.

The square root of 105528 is about 324.8507349538. The cubic root of 105528 is about 47.2558851604.

The spelling of 105528 in words is "one hundred five thousand, five hundred twenty-eight".