10824321705 has 32 divisors (see below), whose sum is σ = 17655563520. Its totient is φ = 5660878080.

The previous prime is 10824321671. The next prime is 10824321731. The reversal of 10824321705 is 50712342801.

It is not a de Polignac number, because 10824321705 - 2¹⁰ = 10824320681 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2272116 + ... + 2276874.

It is an arithmetic number, because the mean of its divisors is an integer number (551736360).

Almost surely, 2^10824321705 is an apocalyptic number.

10824321705 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10824321705 is a deficient number, since it is larger than the sum of its proper divisors (6831241815).

10824321705 is a wasteful number, since it uses less digits than its factorization.

10824321705 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7681.

The product of its (nonzero) digits is 13440, while the sum is 33.

The spelling of 10824321705 in words is "ten billion, eight hundred twenty-four million, three hundred twenty-one thousand, seven hundred five".