5109200 has 60 divisors (see below), whose sum is σ = 12558348. Its totient is φ = 1996800.

The previous prime is 5109199. The next prime is 5109211. The reversal of 5109200 is 29015.

It can be written as a sum of positive squares in 6 ways, for example, as 55696 + 5053504 = 236^2 + 2248^2 .

It is a super-2 number, since 2×5109200² = 52207849280000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 21080 + ... + 21320.

Almost surely, 2^5109200 is an apocalyptic number.

5109200 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 5109200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6279174).

5109200 is an abundant number, since it is smaller than the sum of its proper divisors (7449148).

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

5109200 is a wasteful number, since it uses less digits than its factorization.

5109200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312 (or 301 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 17.

The square root of 5109200 is about 2260.3539545832. The cubic root of 5109200 is about 172.2335029417.

The spelling of 5109200 in words is "five million, one hundred nine thousand, two hundred".