5820164100 has 81 divisors (see below), whose sum is σ = 18250157653. Its totient is φ = 1551433440.

The previous prime is 5820164069. The next prime is 5820164117. The reversal of 5820164100 is 14610285.

The square root of 5820164100 is 76290.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 2095259076 + 3724905024 = 45774^2 + 61032^2 .

It is a Duffinian 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 26 ways as a sum of consecutive naturals, for example, 2287429 + ... + 2289971.

Almost surely, 2^5820164100 is an apocalyptic number.

5820164100 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

5820164100 is the 76290-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5820164100

5820164100 is an abundant number, since it is smaller than the sum of its proper divisors (12429993553).

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

5820164100 is a wasteful number, since it uses less digits than its factorization.

5820164100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5106 (or 2553 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The cubic root of 5820164100 is about 1798.7814901308.

Adding to 5820164100 its reverse (14610285), we get a palindrome (5834774385).

The spelling of 5820164100 in words is "five billion, eight hundred twenty million, one hundred sixty-four thousand, one hundred".