6105120 has 192 divisors, whose sum is σ = 23224320. Its totient is φ = 1317888.

The previous prime is 6105101. The next prime is 6105149. The reversal of 6105120 is 215016.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 6105120.

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, 77241 + ... + 77319.

It is an arithmetic number, because the mean of its divisors is an integer number (120960).

Almost surely, 2^6105120 is an apocalyptic number.

6105120 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 6105120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11612160).

6105120 is an abundant number, since it is smaller than the sum of its proper divisors (17119200).

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

6105120 is a wasteful number, since it uses less digits than its factorization.

6105120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 15.

The square root of 6105120 is about 2470.8541033416. The cubic root of 6105120 is about 182.7671199363.

The spelling of 6105120 in words is "six million, one hundred five thousand, one hundred twenty".