105540525 has 18 divisors (see below), whose sum is σ = 189035210. Its totient is φ = 56288160.

The previous prime is 105540517. The next prime is 105540527. The reversal of 105540525 is 525045501.

It can be written as a sum of positive squares in 3 ways, for example, as 149769 + 105390756 = 387^2 + 10266^2 .

It is not a de Polignac number, because 105540525 - 2³ = 105540517 is a prime.

It is a super-2 number, since 2×105540525² = 22277604834551250, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105540527) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 234310 + ... + 234759.

Almost surely, 2^105540525 is an apocalyptic number.

105540525 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

105540525 is a deficient number, since it is larger than the sum of its proper divisors (83494685).

105540525 is a wasteful number, since it uses less digits than its factorization.

105540525 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 469085 (or 469077 counting only the distinct ones).

The product of its (nonzero) digits is 5000, while the sum is 27.

The square root of 105540525 is about 10273.2918288151. The cubic root of 105540525 is about 472.5775466912.

The spelling of 105540525 in words is "one hundred five million, five hundred forty thousand, five hundred twenty-five".