5204100 has 144 divisors (see below), whose sum is σ = 17498880. Its totient is φ = 1180800.

The previous prime is 5204083. The next prime is 5204107. The reversal of 5204100 is 14025.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (5204107) 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, 62659 + ... + 62741.

It is an arithmetic number, because the mean of its divisors is an integer number (121520).

Almost surely, 2^5204100 is an apocalyptic number.

5204100 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 5204100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8749440).

5204100 is an abundant number, since it is smaller than the sum of its proper divisors (12294780).

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

5204100 is a wasteful number, since it uses less digits than its factorization.

5204100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 12.

The square root of 5204100 is about 2281.2496575342. The cubic root of 5204100 is about 173.2933421876.

Adding to 5204100 its reverse (14025), we get a palindrome (5218125).

The spelling of 5204100 in words is "five million, two hundred four thousand, one hundred".