5580100 has 36 divisors (see below), whose sum is σ = 12413268. Its totient is φ = 2176000.

The previous prime is 5580089. The next prime is 5580101. The reversal of 5580100 is 10855.

5580100 is nontrivially palindromic in base 9.

It can be written as a sum of positive squares in 6 ways, for example, as 1800964 + 3779136 = 1342^2 + 1944^2 .

It is a super-2 number, since 2×5580100² = 62275032020000, which contains 22 as substring.

It is a zygodrome in base 9.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5580101) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3420 + ... + 4780.

It is an arithmetic number, because the mean of its divisors is an integer number (344813).

Almost surely, 2^5580100 is an apocalyptic number.

5580100 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 5580100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6206634).

5580100 is an abundant number, since it is smaller than the sum of its proper divisors (6833168).

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

5580100 is a wasteful number, since it uses less digits than its factorization.

5580100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1416 (or 1409 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 19.

The square root of 5580100 is about 2362.2235287965. The cubic root of 5580100 is about 177.3702020063.

Adding to 5580100 its reverse (10855), we get a palindrome (5590955).

The spelling of 5580100 in words is "five million, five hundred eighty thousand, one hundred".