5305270100 has 72 divisors (see below), whose sum is σ = 12430147128. Its totient is φ = 1953792000.

The previous prime is 5305270099. The next prime is 5305270163. The reversal of 5305270100 is 10725035.

It can be written as a sum of positive squares in 12 ways, for example, as 483912004 + 4821358096 = 21998^2 + 69436^2 .

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, 516212 + ... + 526388.

Almost surely, 2^5305270100 is an apocalyptic number.

5305270100 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 5305270100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6215073564).

5305270100 is an abundant number, since it is smaller than the sum of its proper divisors (7124877028).

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

5305270100 is a wasteful number, since it uses less digits than its factorization.

5305270100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10605 (or 10598 counting only the distinct ones).

The product of its (nonzero) digits is 1050, while the sum is 23.

The square root of 5305270100 is about 72837.2850949292. The cubic root of 5305270100 is about 1744.0911022781.

Adding to 5305270100 its reverse (10725035), we get a palindrome (5315995135).

The spelling of 5305270100 in words is "five billion, three hundred five million, two hundred seventy thousand, one hundred".