105525 has 36 divisors (see below), whose sum is σ = 219232. Its totient is φ = 47520.

The previous prime is 105517. The next prime is 105527. The reversal of 105525 is 525501.

105525 = 5³ + 6³ + ... + 25³.

It is not a de Polignac number, because 105525 - 2³ = 105517 is a prime.

It is a super-2 number, since 2×105525² = 22271051250, which contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

105525 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 105498 and 105507.

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 35 ways as a sum of consecutive naturals, for example, 1542 + ... + 1608.

2¹⁰⁵⁵²⁵ is an apocalyptic number.

105525 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

105525 is an abundant number, since it is smaller than the sum of its proper divisors (113707).

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

105525 is a wasteful number, since it uses less digits than its factorization.

105525 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 250, while the sum is 18.

The square root of 105525 is about 324.8461174156. The cubic root of 105525 is about 47.2554373519.

It can be divided in two parts, 105 and 525, that added together give a triangular number (630 = T₃₅).

The spelling of 105525 in words is "one hundred five thousand, five hundred twenty-five".