6106108800 has 384 divisors, whose sum is σ = 22374817920. Its totient is φ = 1451008000.

The previous prime is 6106108777. The next prime is 6106108817. The reversal of 6106108800 is 88016016.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5596255 + ... + 5597345.

It is an arithmetic number, because the mean of its divisors is an integer number (58267755).

Almost surely, 2^6106108800 is an apocalyptic number.

6106108800 is a gapful number since it is divisible by the number (60) 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 6106108800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11187408960).

6106108800 is an abundant number, since it is smaller than the sum of its proper divisors (16268709120).

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

6106108800 is a wasteful number, since it uses less digits than its factorization.

6106108800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1182 (or 1165 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 30.

The square root of 6106108800 is about 78141.5945575722. The cubic root of 6106108800 is about 1827.7698653861.

The spelling of 6106108800 in words is "six billion, one hundred six million, one hundred eight thousand, eight hundred".