5128100 has 36 divisors (see below), whose sum is σ = 11718000. Its totient is φ = 1942560.

The previous prime is 5128063. The next prime is 5128153. The reversal of 5128100 is 18215.

It is a super-2 number, since 2×5128100² = 52594819220000, which contains 22 as substring.

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, 551 + ... + 3249.

It is an arithmetic number, because the mean of its divisors is an integer number (325500).

Almost surely, 2^5128100 is an apocalyptic number.

5128100 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 5128100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5859000).

5128100 is an abundant number, since it is smaller than the sum of its proper divisors (6589900).

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

5128100 is a wasteful number, since it uses less digits than its factorization.

5128100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2732 (or 2725 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 17.

The square root of 5128100 is about 2264.5308564910. The cubic root of 5128100 is about 172.4456175277.

The spelling of 5128100 in words is "five million, one hundred twenty-eight thousand, one hundred".