5205102120 has 320 divisors, whose sum is σ = 18692467200. Its totient is φ = 1296207360.

The previous prime is 5205102083. The next prime is 5205102131. The reversal of 5205102120 is 212015025.

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

It is a junction number, because it is equal to n+sod(n) for n = 5205102093 and 5205102102.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2911867 + ... + 2913653.

It is an arithmetic number, because the mean of its divisors is an integer number (58413960).

Almost surely, 2^5205102120 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5205102120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9346233600).

5205102120 is an abundant number, since it is smaller than the sum of its proper divisors (13487365080).

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

5205102120 is a wasteful number, since it uses less digits than its factorization.

5205102120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1870 (or 1857 counting only the distinct ones).

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

The square root of 5205102120 is about 72146.3936728649. The cubic root of 5205102120 is about 1733.0446480105.

Adding to 5205102120 its reverse (212015025), we get a palindrome (5417117145).

The spelling of 5205102120 in words is "five billion, two hundred five million, one hundred two thousand, one hundred twenty".