5164100 has 36 divisors (see below), whose sum is σ = 11330004. Its totient is φ = 2042880.

The previous prime is 5164097. The next prime is 5164123. The reversal of 5164100 is 14615.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 350464 + 4813636 = 592^2 + 2194^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11072 + ... + 11528.

Almost surely, 2^5164100 is an apocalyptic number.

5164100 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 5164100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5665002).

5164100 is an abundant number, since it is smaller than the sum of its proper divisors (6165904).

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

5164100 is a wasteful number, since it uses less digits than its factorization.

5164100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 584 (or 577 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 17.

The square root of 5164100 is about 2272.4656213021. The cubic root of 5164100 is about 172.8482079288.

Adding to 5164100 its reverse (14615), we get a palindrome (5178715).

The spelling of 5164100 in words is "five million, one hundred sixty-four thousand, one hundred".