6106345056 has 288 divisors, whose sum is σ = 21794572800. Its totient is φ = 1641793536.

The previous prime is 6106345031. The next prime is 6106345057. The reversal of 6106345056 is 6505436016.

6106345056 is a `hidden beast` number, since 6 + 10 + 634 + 5 + 0 + 5 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 6106345056.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6106345057) 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, 922045 + ... + 928643.

It is an arithmetic number, because the mean of its divisors is an integer number (75675600).

Almost surely, 2^6106345056 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 6106345056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10897286400).

6106345056 is an abundant number, since it is smaller than the sum of its proper divisors (15688227744).

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

6106345056 is a wasteful number, since it uses less digits than its factorization.

6106345056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6648 (or 6628 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The square root of 6106345056 is about 78143.1062602454. The cubic root of 6106345056 is about 1827.7934382835.

The spelling of 6106345056 in words is "six billion, one hundred six million, three hundred forty-five thousand, fifty-six".