10584205845 has 16 divisors (see below), whose sum is σ = 17481011712. Its totient is φ = 5462815680.

The previous prime is 10584205837. The next prime is 10584205859. The reversal of 10584205845 is 54850248501.

It is not a de Polignac number, because 10584205845 - 2³ = 10584205837 is a prime.

It is a super-2 number, since 2×10584205845² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10584205797 and 10584205806.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11380402 + ... + 11381331.

It is an arithmetic number, because the mean of its divisors is an integer number (1092563232).

Almost surely, 2^10584205845 is an apocalyptic number.

10584205845 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10584205845 is a deficient number, since it is larger than the sum of its proper divisors (6896805867).

10584205845 is a wasteful number, since it uses less digits than its factorization.

10584205845 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22761772.

The product of its (nonzero) digits is 256000, while the sum is 42.

The spelling of 10584205845 in words is "ten billion, five hundred eighty-four million, two hundred five thousand, eight hundred forty-five".