6105103364064 has 192 divisors, whose sum is σ = 16259485777920. Its totient is φ = 2005629050880.

The previous prime is 6105103364029. The next prime is 6105103364089. The reversal of 6105103364064 is 4604633015016.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1289899042 + ... + 1289903774.

It is an arithmetic number, because the mean of its divisors is an integer number (84684821760).

Almost surely, 2^{6105103364064} 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 6105103364064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8129742888960).

6105103364064 is an abundant number, since it is smaller than the sum of its proper divisors (10154382413856).

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

6105103364064 is a wasteful number, since it uses less digits than its factorization.

6105103364064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5553 (or 5545 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 39.

The spelling of 6105103364064 in words is "six trillion, one hundred five billion, one hundred three million, three hundred sixty-four thousand, sixty-four".