105566525 has 18 divisors (see below), whose sum is σ = 135599022. Its totient is φ = 81524800.

The previous prime is 105566519. The next prime is 105566533. The reversal of 105566525 is 525665501.

It can be written as a sum of positive squares in 9 ways, for example, as 7695076 + 97871449 = 2774^2 + 9893^2 .

It is not a de Polignac number, because 105566525 - 2⁴ = 105566509 is a prime.

It is a super-2 number, since 2×105566525² = 22288582401151250, which contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 18515 + ... + 23535.

It is an arithmetic number, because the mean of its divisors is an integer number (7533279).

Almost surely, 2^105566525 is an apocalyptic number.

It is an amenable number.

105566525 is a deficient number, since it is larger than the sum of its proper divisors (30032497).

105566525 is an equidigital number, since it uses as much as digits as its factorization.

105566525 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5089 (or 5055 counting only the distinct ones).

The product of its (nonzero) digits is 45000, while the sum is 35.

The square root of 105566525 is about 10274.5571680730. The cubic root of 105566525 is about 472.6163501346.

The spelling of 105566525 in words is "one hundred five million, five hundred sixty-six thousand, five hundred twenty-five".