5305510100 has 72 divisors (see below), whose sum is σ = 12772620000. Its totient is φ = 1896553600.

The previous prime is 5305510081. The next prime is 5305510109. The reversal of 5305510100 is 10155035.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5305510109) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 24026 + ... + 105774.

It is an arithmetic number, because the mean of its divisors is an integer number (177397500).

Almost surely, 2^5305510100 is an apocalyptic number.

5305510100 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 5305510100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6386310000).

5305510100 is an abundant number, since it is smaller than the sum of its proper divisors (7467109900).

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

5305510100 is a wasteful number, since it uses less digits than its factorization.

5305510100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81833 (or 81826 counting only the distinct ones).

The product of its (nonzero) digits is 375, while the sum is 20.

The square root of 5305510100 is about 72838.9325841613. The cubic root of 5305510100 is about 1744.1174016336.

Adding to 5305510100 its reverse (10155035), we get a palindrome (5315665135).

The spelling of 5305510100 in words is "five billion, three hundred five million, five hundred ten thousand, one hundred".