5105555106100 has 72 divisors (see below), whose sum is σ = 11165007268800. Its totient is φ = 2026382092800.

The previous prime is 5105555106097. The next prime is 5105555106107. The reversal of 5105555106100 is 16015555015.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5105555106107) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 134766961 + ... + 134804839.

It is an arithmetic number, because the mean of its divisors is an integer number (155069545400).

Almost surely, 2^{5105555106100} is an apocalyptic number.

5105555106100 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 5105555106100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5582503634400).

5105555106100 is an abundant number, since it is smaller than the sum of its proper divisors (6059452162700).

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

5105555106100 is a wasteful number, since it uses less digits than its factorization.

5105555106100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48313 (or 48306 counting only the distinct ones).

The product of its (nonzero) digits is 18750, while the sum is 34.

The spelling of 5105555106100 in words is "five trillion, one hundred five billion, five hundred fifty-five million, one hundred six thousand, one hundred".