105825036010265 has 48 divisors (see below), whose sum is σ = 151809666514128. Its totient is φ = 70339980480000.

The previous prime is 105825036010261. The next prime is 105825036010273. The reversal of 105825036010265 is 562010630528501.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 3301736116624 + 102523299893641 = 1817068^2 + 10125379^2 .

It is not a de Polignac number, because 105825036010265 - 2² = 105825036010261 is a prime.

It is a super-2 number, since 2×105825036010265² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (105825036010261) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 65815466 + ... + 67404195.

It is an arithmetic number, because the mean of its divisors is an integer number (3162701385711).

Almost surely, 2^{105825036010265} is an apocalyptic number.

It is an amenable number.

105825036010265 is a deficient number, since it is larger than the sum of its proper divisors (45984630503863).

105825036010265 is a wasteful number, since it uses less digits than its factorization.

105825036010265 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133219802 (or 133219791 counting only the distinct ones).

The product of its (nonzero) digits is 432000, while the sum is 44.

Adding to 105825036010265 its reverse (562010630528501), we get a palindrome (667835666538766).

The spelling of 105825036010265 in words is "one hundred five trillion, eight hundred twenty-five billion, thirty-six million, ten thousand, two hundred sixty-five".