5205069900 has 108 divisors (see below), whose sum is σ = 16375972704. Its totient is φ = 1382832000.

The previous prime is 5205069899. The next prime is 5205069929. The reversal of 5205069900 is 99605025.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 233230 + ... + 254570.

Almost surely, 2^5205069900 is an apocalyptic number.

5205069900 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 5205069900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8187986352).

5205069900 is an abundant number, since it is smaller than the sum of its proper divisors (11170902804).

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

5205069900 is a wasteful number, since it uses less digits than its factorization.

5205069900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21632 (or 21622 counting only the distinct ones).

The product of its (nonzero) digits is 24300, while the sum is 36.

The square root of 5205069900 is about 72146.1703765349. The cubic root of 5205069900 is about 1733.0410721079.

The spelling of 5205069900 in words is "five billion, two hundred five million, sixty-nine thousand, nine hundred".