5106208200 has 192 divisors, whose sum is σ = 16728096000. Its totient is φ = 1284906240.

The previous prime is 5106208193. The next prime is 5106208201. The reversal of 5106208200 is 28026015.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (5106208201) 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, 3499071 + ... + 3500529.

It is an arithmetic number, because the mean of its divisors is an integer number (87125500).

Almost surely, 2^5106208200 is an apocalyptic number.

5106208200 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 5106208200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8364048000).

5106208200 is an abundant number, since it is smaller than the sum of its proper divisors (11621887800).

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

5106208200 is a wasteful number, since it uses less digits than its factorization.

5106208200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1804 (or 1795 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 5106208200 is about 71457.7371598066. The cubic root of 5106208200 is about 1721.9987805544.

The spelling of 5106208200 in words is "five billion, one hundred six million, two hundred eight thousand, two hundred".