10584315645 has 32 divisors (see below), whose sum is σ = 17489934720. Its totient is φ = 5461666560.

The previous prime is 10584315613. The next prime is 10584315673. The reversal of 10584315645 is 54651348501.

It is not a de Polignac number, because 10584315645 - 2⁵ = 10584315613 is a prime.

It is a super-2 number, since 2×10584315645² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10584315597 and 10584315606.

It is a congruent number.

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, 46075 + ... + 152615.

It is an arithmetic number, because the mean of its divisors is an integer number (546560460).

Almost surely, 2^10584315645 is an apocalyptic number.

10584315645 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10584315645 is a deficient number, since it is larger than the sum of its proper divisors (6905619075).

10584315645 is a wasteful number, since it uses less digits than its factorization.

10584315645 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106765.

The product of its (nonzero) digits is 288000, while the sum is 42.

The spelling of 10584315645 in words is "ten billion, five hundred eighty-four million, three hundred fifteen thousand, six hundred forty-five".