10584105800 has 96 divisors (see below), whose sum is σ = 25945140000. Its totient is φ = 4004328960.

The previous prime is 10584105797. The next prime is 10584105809. The reversal of 10584105800 is 850148501.

10584105800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10584105800² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10584105809) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2806316 + ... + 2810084.

It is an arithmetic number, because the mean of its divisors is an integer number (270261875).

Almost surely, 2^10584105800 is an apocalyptic number.

10584105800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10584105800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12972570000).

10584105800 is an abundant number, since it is smaller than the sum of its proper divisors (15361034200).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10584105800 is a wasteful number, since it uses less digits than its factorization.

10584105800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4543 (or 4534 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 32.

The spelling of 10584105800 in words is "ten billion, five hundred eighty-four million, one hundred five thousand, eight hundred".