5582100 has 72 divisors (see below), whose sum is σ = 16873920. Its totient is φ = 1422080.

The previous prime is 5582099. The next prime is 5582111. The reversal of 5582100 is 12855.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6496 + ... + 7304.

It is an arithmetic number, because the mean of its divisors is an integer number (234360).

Almost surely, 2^5582100 is an apocalyptic number.

5582100 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 5582100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8436960).

5582100 is an abundant number, since it is smaller than the sum of its proper divisors (11291820).

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

5582100 is a wasteful number, since it uses less digits than its factorization.

5582100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 849 (or 842 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 21.

The square root of 5582100 is about 2362.6468208346. The cubic root of 5582100 is about 177.3913902784.

Adding to 5582100 its reverse (12855), we get a palindrome (5594955).

The spelling of 5582100 in words is "five million, five hundred eighty-two thousand, one hundred".