6105110155600 has 120 divisors (see below), whose sum is σ = 15539979004920. Its totient is φ = 2296965365760.

The previous prime is 6105110155561. The next prime is 6105110155601. The reversal of 6105110155600 is 65510115016.

It can be written as a sum of positive squares in 12 ways, for example, as 65194430224 + 6039915725376 = 255332^2 + 2457624^2 .

It is a super-2 number, since 2×6105110155600² (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 (6105110155601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10690096 + ... + 11246704.

It is an arithmetic number, because the mean of its divisors is an integer number (129499825041).

Almost surely, 2^{6105110155600} 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 6105110155600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7769989502460).

6105110155600 is an abundant number, since it is smaller than the sum of its proper divisors (9434868849320).

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

6105110155600 is a wasteful number, since it uses less digits than its factorization.

6105110155600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 558257 (or 558246 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 31.

The spelling of 6105110155600 in words is "six trillion, one hundred five billion, one hundred ten million, one hundred fifty-five thousand, six hundred".