5105430200 has 192 divisors, whose sum is σ = 13326855360. Its totient is φ = 1806520320.

The previous prime is 5105430199. The next prime is 5105430223. The reversal of 5105430200 is 20345015.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7022237 + ... + 7022963.

It is an arithmetic number, because the mean of its divisors is an integer number (69410705).

Almost surely, 2^5105430200 is an apocalyptic number.

5105430200 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 5105430200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6663427680).

5105430200 is an abundant number, since it is smaller than the sum of its proper divisors (8221425160).

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

5105430200 is a wasteful number, since it uses less digits than its factorization.

5105430200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 866 (or 857 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 20.

The square root of 5105430200 is about 71452.2931752369. The cubic root of 5105430200 is about 1721.9113194975.

Adding to 5105430200 its reverse (20345015), we get a palindrome (5125775215).

The spelling of 5105430200 in words is "five billion, one hundred five million, four hundred thirty thousand, two hundred".