5205342100 has 72 divisors (see below), whose sum is σ = 12977169408. Its totient is φ = 1775299200.

The previous prime is 5205342031. The next prime is 5205342157. The reversal of 5205342100 is 12435025.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 114234 + ... + 153166.

It is an arithmetic number, because the mean of its divisors is an integer number (180238464).

Almost surely, 2^5205342100 is an apocalyptic number.

5205342100 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 5205342100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6488584704).

5205342100 is an abundant number, since it is smaller than the sum of its proper divisors (7771827308).

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

5205342100 is a wasteful number, since it uses less digits than its factorization.

5205342100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39145 (or 39138 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 22.

The square root of 5205342100 is about 72148.0567998889. The cubic root of 5205342100 is about 1733.0712814721.

Adding to 5205342100 its reverse (12435025), we get a palindrome (5217777125).

The spelling of 5205342100 in words is "five billion, two hundred five million, three hundred forty-two thousand, one hundred".