5205212100 has 216 divisors, whose sum is σ = 17853544800. Its totient is φ = 1257984000.

The previous prime is 5205212057. The next prime is 5205212101. The reversal of 5205212100 is 12125025.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (5205212101) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4444515 + ... + 4445685.

It is an arithmetic number, because the mean of its divisors is an integer number (82655300).

Almost surely, 2^5205212100 is an apocalyptic number.

5205212100 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 5205212100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8926772400).

5205212100 is an abundant number, since it is smaller than the sum of its proper divisors (12648332700).

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

5205212100 is a wasteful number, since it uses less digits than its factorization.

5205212100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1651 (or 1641 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 18.

The square root of 5205212100 is about 72147.1558690985. The cubic root of 5205212100 is about 1733.0568539130.

Adding to 5205212100 its reverse (12125025), we get a palindrome (5217337125).

The spelling of 5205212100 in words is "five billion, two hundred five million, two hundred twelve thousand, one hundred".