6006105561108 has 192 divisors, whose sum is σ = 15834308861952. Its totient is φ = 1761792215040.

The previous prime is 6006105561107. The next prime is 6006105561109. The reversal of 6006105561108 is 8011655016006.

It is an interprime number because it is at equal distance from previous prime (6006105561107) and next prime (6006105561109).

It is a super-2 number, since 2×6006105561108² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6006105561107) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 67346635 + ... + 67435757.

It is an arithmetic number, because the mean of its divisors is an integer number (82470358656).

Almost surely, 2^{6006105561108} is an apocalyptic number.

6006105561108 is a gapful number since it is divisible by the number (68) 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 6006105561108, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7917154430976).

6006105561108 is an abundant number, since it is smaller than the sum of its proper divisors (9828203300844).

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

6006105561108 is a wasteful number, since it uses less digits than its factorization.

6006105561108 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89494 (or 89492 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 39.

The spelling of 6006105561108 in words is "six trillion, six billion, one hundred five million, five hundred sixty-one thousand, one hundred eight".