105262665725 has 48 divisors (see below), whose sum is σ = 151782785280. Its totient is φ = 70924377600.

The previous prime is 105262665713. The next prime is 105262665727. The reversal of 105262665725 is 527566262501.

It is not a de Polignac number, because 105262665725 - 2²⁸ = 104994230269 is a prime.

It is a super-2 number, since 2×105262665725² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105262665725.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105262665727) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3421160 + ... + 3451790.

It is an arithmetic number, because the mean of its divisors is an integer number (3162141360).

Almost surely, 2^105262665725 is an apocalyptic number.

It is an amenable number.

105262665725 is a deficient number, since it is larger than the sum of its proper divisors (46520119555).

105262665725 is a wasteful number, since it uses less digits than its factorization.

105262665725 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30990 (or 30985 counting only the distinct ones).

The product of its (nonzero) digits is 1512000, while the sum is 47.

The spelling of 105262665725 in words is "one hundred five billion, two hundred sixty-two million, six hundred sixty-five thousand, seven hundred twenty-five".