105725565 has 36 divisors (see below), whose sum is σ = 201442332. Its totient is φ = 51258240.

The previous prime is 105725551. The next prime is 105725573. The reversal of 105725565 is 565527501.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 12236004 + 93489561 = 3498^2 + 9669^2 .

It is not a de Polignac number, because 105725565 - 2⁷ = 105725437 is a prime.

It is a super-2 number, since 2×105725565² = 22355790189138450, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4264 + ... + 15153.

Almost surely, 2^105725565 is an apocalyptic number.

105725565 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

105725565 is a deficient number, since it is larger than the sum of its proper divisors (95716767).

105725565 is a wasteful number, since it uses less digits than its factorization.

105725565 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19450 (or 19436 counting only the distinct ones).

The product of its (nonzero) digits is 52500, while the sum is 36.

The square root of 105725565 is about 10282.2937616079. The cubic root of 105725565 is about 472.8535692393.

The spelling of 105725565 in words is "one hundred five million, seven hundred twenty-five thousand, five hundred sixty-five".