105269649825 has 24 divisors (see below), whose sum is σ = 180047404800. Its totient is φ = 54207818560.

The previous prime is 105269649811. The next prime is 105269649829. The reversal of 105269649825 is 528946962501.

It is not a de Polignac number, because 105269649825 - 2⁶ = 105269649761 is a prime.

It is a super-2 number, since 2×105269649825² (a number of 23 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (105269649829) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24197745 + ... + 24202094.

It is an arithmetic number, because the mean of its divisors is an integer number (7501975200).

Almost surely, 2^105269649825 is an apocalyptic number.

105269649825 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

105269649825 is a deficient number, since it is larger than the sum of its proper divisors (74777754975).

105269649825 is a wasteful number, since it uses less digits than its factorization.

105269649825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48399881 (or 48399876 counting only the distinct ones).

The product of its (nonzero) digits is 9331200, while the sum is 57.

The spelling of 105269649825 in words is "one hundred five billion, two hundred sixty-nine million, six hundred forty-nine thousand, eight hundred twenty-five".