580105900 has 72 divisors (see below), whose sum is σ = 1380755376. Its totient is φ = 209798400.

The previous prime is 580105873. The next prime is 580105907. The reversal of 580105900 is 9501085.

580105900 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (580105907) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 215362 + ... + 218038.

It is an arithmetic number, because the mean of its divisors is an integer number (19177158).

Almost surely, 2^580105900 is an apocalyptic number.

580105900 is a gapful number since it is divisible by the number (50) 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 580105900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (690377688).

580105900 is an abundant number, since it is smaller than the sum of its proper divisors (800649476).

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

580105900 is a wasteful number, since it uses less digits than its factorization.

580105900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2899 (or 2892 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 28.

The square root of 580105900 is about 24085.3876863130. The cubic root of 580105900 is about 834.0058446837.

Adding to 580105900 its reverse (9501085), we get a palindrome (589606985).

The spelling of 580105900 in words is "five hundred eighty million, one hundred five thousand, nine hundred".