5200100 has 36 divisors (see below), whose sum is σ = 11392500. Its totient is φ = 2060160.

The previous prime is 5200099. The next prime is 5200103. The reversal of 5200100 is 10025.

It can be written as a sum of positive squares in 6 ways, for example, as 289444 + 4910656 = 538^2 + 2216^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5200103) 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, 14726 + ... + 15074.

Almost surely, 2^5200100 is an apocalyptic number.

5200100 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 5200100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5696250).

5200100 is an abundant number, since it is smaller than the sum of its proper divisors (6192400).

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

5200100 is a wasteful number, since it uses less digits than its factorization.

5200100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 512 (or 505 counting only the distinct ones).

The product of its (nonzero) digits is 10, while the sum is 8.

The square root of 5200100 is about 2280.3727765433. The cubic root of 5200100 is about 173.2489316240.

Adding to 5200100 its reverse (10025), we get a palindrome (5210125).

The spelling of 5200100 in words is "five million, two hundred thousand, one hundred".