5003100 has 144 divisors (see below), whose sum is σ = 17186400. Its totient is φ = 1244160.

The previous prime is 5003081. The next prime is 5003101. The reversal of 5003100 is 13005.

It is a super-2 number, since 2×5003100² = 50062019220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5003101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 45846 + ... + 45954.

It is an arithmetic number, because the mean of its divisors is an integer number (119350).

Almost surely, 2^5003100 is an apocalyptic number.

5003100 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 5003100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8593200).

5003100 is an abundant number, since it is smaller than the sum of its proper divisors (12183300).

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

5003100 is a wasteful number, since it uses less digits than its factorization.

5003100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 15, while the sum is 9.

The square root of 5003100 is about 2236.7610511630. The cubic root of 5003100 is about 171.0329268696.

Adding to 5003100 its reverse (13005), we get a palindrome (5016105).

It can be divided in two parts, 500 and 3100, that added together give a square (3600 = 60²).

The spelling of 5003100 in words is "five million, three thousand, one hundred".