6105752178100 has 72 divisors (see below), whose sum is σ = 13560045539040. Its totient is φ = 2385074590080.

The previous prime is 6105752178083. The next prime is 6105752178101. The reversal of 6105752178100 is 18712575016.

It is a super-2 number, since 2×6105752178100² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (43).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6105752178101) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24355191 + ... + 24604609.

It is an arithmetic number, because the mean of its divisors is an integer number (188333965820).

Almost surely, 2^{6105752178100} 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 6105752178100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6780022769520).

6105752178100 is an abundant number, since it is smaller than the sum of its proper divisors (7454293360940).

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

6105752178100 is a wasteful number, since it uses less digits than its factorization.

6105752178100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255169 (or 255162 counting only the distinct ones).

The product of its (nonzero) digits is 117600, while the sum is 43.

The spelling of 6105752178100 in words is "six trillion, one hundred five billion, seven hundred fifty-two million, one hundred seventy-eight thousand, one hundred".