5506105300 has 144 divisors (see below), whose sum is σ = 12949171200. Its totient is φ = 2027289600.

The previous prime is 5506105289. The next prime is 5506105303. The reversal of 5506105300 is 35016055.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5506105303) 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, 6562281 + ... + 6563119.

It is an arithmetic number, because the mean of its divisors is an integer number (89924800).

Almost surely, 2^5506105300 is an apocalyptic number.

5506105300 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 5506105300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6474585600).

5506105300 is an abundant number, since it is smaller than the sum of its proper divisors (7443065900).

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

5506105300 is a wasteful number, since it uses less digits than its factorization.

5506105300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 986 (or 979 counting only the distinct ones).

The product of its (nonzero) digits is 2250, while the sum is 25.

The square root of 5506105300 is about 74203.1353785000. The cubic root of 5506105300 is about 1765.8270726720.

The spelling of 5506105300 in words is "five billion, five hundred six million, one hundred five thousand, three hundred".