105201725 has 24 divisors (see below), whose sum is σ = 133512288. Its totient is φ = 82209600.

The previous prime is 105201721. The next prime is 105201731. The reversal of 105201725 is 527102501.

It is a happy number.

It is not a de Polignac number, because 105201725 - 2² = 105201721 is a prime.

It is a super-3 number, since 3×105201725³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 105201725.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105201721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 303002 + ... + 303348.

It is an arithmetic number, because the mean of its divisors is an integer number (5563012).

Almost surely, 2^105201725 is an apocalyptic number.

It is an amenable number.

105201725 is a deficient number, since it is larger than the sum of its proper divisors (28310563).

105201725 is a wasteful number, since it uses less digits than its factorization.

105201725 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 605 (or 600 counting only the distinct ones).

The product of its (nonzero) digits is 700, while the sum is 23.

The square root of 105201725 is about 10256.7892149542. The cubic root of 105201725 is about 472.0713243863.

The spelling of 105201725 in words is "one hundred five million, two hundred one thousand, seven hundred twenty-five".