6005610605106 has 96 divisors (see below), whose sum is σ = 15275648464128. Its totient is φ = 1669219021440.

The previous prime is 6005610605101. The next prime is 6005610605147. The reversal of 6005610605106 is 6015060165006.

It is not an unprimeable number, because it can be changed into a prime (6005610605101) 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, 27026851 + ... + 27248153.

It is an arithmetic number, because the mean of its divisors is an integer number (159121338168).

Almost surely, 2^{6005610605106} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6005610605106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7637824232064).

6005610605106 is an abundant number, since it is smaller than the sum of its proper divisors (9270037859022).

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

6005610605106 is a wasteful number, since it uses less digits than its factorization.

6005610605106 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 227176 (or 227173 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The spelling of 6005610605106 in words is "six trillion, five billion, six hundred ten million, six hundred five thousand, one hundred six".