105360041525 has 12 divisors (see below), whose sum is σ = 130709296644. Its totient is φ = 84247488000.

The previous prime is 105360041503. The next prime is 105360041561. The reversal of 105360041525 is 525140063501.

It can be written as a sum of positive squares in 6 ways, for example, as 29394759601 + 75965281924 = 171449^2 + 275618^2 .

It is not a de Polignac number, because 105360041525 - 2⁶ = 105360041461 is a prime.

It is a super-2 number, since 2×105360041525² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 105360041491 and 105360041500.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 960566 + ... + 1064615.

It is an arithmetic number, because the mean of its divisors is an integer number (10892441387).

Almost surely, 2^105360041525 is an apocalyptic number.

It is an amenable number.

105360041525 is a deficient number, since it is larger than the sum of its proper divisors (25349255119).

105360041525 is a wasteful number, since it uses less digits than its factorization.

105360041525 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2027272 (or 2027267 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 32.

The spelling of 105360041525 in words is "one hundred five billion, three hundred sixty million, forty-one thousand, five hundred twenty-five".