6105000 has 160 divisors (see below), whose sum is σ = 21368160. Its totient is φ = 1440000.

The previous prime is 6104999. The next prime is 6105007. The reversal of 6105000 is 5016.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (6105007) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 164982 + ... + 165018.

It is an arithmetic number, because the mean of its divisors is an integer number (133551).

Almost surely, 2^6105000 is an apocalyptic number.

6105000 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 6105000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10684080).

6105000 is an abundant number, since it is smaller than the sum of its proper divisors (15263160).

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

6105000 is a wasteful number, since it uses less digits than its factorization.

6105000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 12.

The square root of 6105000 is about 2470.8298201212. The cubic root of 6105000 is about 182.7659224607.

The spelling of 6105000 in words is "six million, one hundred five thousand".