5505105105100 has 72 divisors (see below), whose sum is σ = 12122607103488. Its totient is φ = 2169566323200.

The previous prime is 5505105105089. The next prime is 5505105105103. The reversal of 5505105105100 is 15015015055.

It is not an unprimeable number, because it can be changed into a prime (5505105105103) 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, 6468597 + ... + 7270003.

It is an arithmetic number, because the mean of its divisors is an integer number (168369543104).

Almost surely, 2^{5505105105100} is an apocalyptic number.

5505105105100 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 5505105105100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6061303551744).

5505105105100 is an abundant number, since it is smaller than the sum of its proper divisors (6617501998388).

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

5505105105100 is a wasteful number, since it uses less digits than its factorization.

5505105105100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 802435 (or 802428 counting only the distinct ones).

The product of its (nonzero) digits is 3125, while the sum is 28.

The spelling of 5505105105100 in words is "five trillion, five hundred five billion, one hundred five million, one hundred five thousand, one hundred".