105524465345 has 16 divisors (see below), whose sum is σ = 136376974272. Its totient is φ = 77921818560.

The previous prime is 105524465339. The next prime is 105524465357. The reversal of 105524465345 is 543564425501.

It is not a de Polignac number, because 105524465345 - 2⁴ = 105524465329 is a prime.

It is a super-2 number, since 2×105524465345² (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 = 105524465296 and 105524465305.

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 15 ways as a sum of consecutive naturals, for example, 2134274 + ... + 2183156.

It is an arithmetic number, because the mean of its divisors is an integer number (8523560892).

Almost surely, 2^105524465345 is an apocalyptic number.

It is an amenable number.

105524465345 is a deficient number, since it is larger than the sum of its proper divisors (30852508927).

105524465345 is a wasteful number, since it uses less digits than its factorization.

105524465345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82112.

The product of its (nonzero) digits is 1440000, while the sum is 44.

The spelling of 105524465345 in words is "one hundred five billion, five hundred twenty-four million, four hundred sixty-five thousand, three hundred forty-five".