556105000 has 80 divisors (see below), whose sum is σ = 1421544960. Its totient is φ = 202200000.

The previous prime is 556104959. The next prime is 556105027. The reversal of 556105000 is 501655.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 49945 + ... + 60055.

It is an arithmetic number, because the mean of its divisors is an integer number (17769312).

Almost surely, 2^556105000 is an apocalyptic number.

556105000 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 556105000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (710772480).

556105000 is an abundant number, since it is smaller than the sum of its proper divisors (865439960).

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

556105000 is a wasteful number, since it uses less digits than its factorization.

556105000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10148 (or 10129 counting only the distinct ones).

The product of its (nonzero) digits is 750, while the sum is 22.

The square root of 556105000 is about 23581.8786359357. The cubic root of 556105000 is about 822.3416114544.

Adding to 556105000 its reverse (501655), we get a palindrome (556606655).

The spelling of 556105000 in words is "five hundred fifty-six million, one hundred five thousand".