5305035100 has 144 divisors (see below), whose sum is σ = 12449578176. Its totient is φ = 1957120000.

The previous prime is 5305035083. The next prime is 5305035101. The reversal of 5305035100 is 15305035.

It is a happy number.

It is a super-3 number, since 3×5305035100³ (a number of 30 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5305035101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9524022 + ... + 9524578.

It is an arithmetic number, because the mean of its divisors is an integer number (86455404).

Almost surely, 2^5305035100 is an apocalyptic number.

5305035100 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 5305035100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6224789088).

5305035100 is an abundant number, since it is smaller than the sum of its proper divisors (7144543076).

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

5305035100 is a wasteful number, since it uses less digits than its factorization.

5305035100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 736 (or 729 counting only the distinct ones).

The product of its (nonzero) digits is 1125, while the sum is 22.

The square root of 5305035100 is about 72835.6718922809. The cubic root of 5305035100 is about 1744.0653500573.

The spelling of 5305035100 in words is "five billion, three hundred five million, thirty-five thousand, one hundred".