6105006105500 has 96 divisors (see below), whose sum is σ = 13411655327616. Its totient is φ = 2427667200000.

The previous prime is 6105006105487. The next prime is 6105006105533. The reversal of 6105006105500 is 55016005016.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 304160465 + ... + 304180535.

It is an arithmetic number, because the mean of its divisors is an integer number (139704742996).

Almost surely, 2^{6105006105500} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6105006105500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6705827663808).

6105006105500 is an abundant number, since it is smaller than the sum of its proper divisors (7306649222116).

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

6105006105500 is a wasteful number, since it uses less digits than its factorization.

6105006105500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23632 (or 23620 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 29.

The spelling of 6105006105500 in words is "six trillion, one hundred five billion, six million, one hundred five thousand, five hundred".