6105138040 has 64 divisors (see below), whose sum is σ = 13923252000. Its totient is φ = 2408957952.

The previous prime is 6105138037. The next prime is 6105138077. The reversal of 6105138040 is 408315016.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3481804 + ... + 3483556.

Almost surely, 2^6105138040 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 6105138040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6961626000).

6105138040 is an abundant number, since it is smaller than the sum of its proper divisors (7818113960).

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

6105138040 is a wasteful number, since it uses less digits than its factorization.

6105138040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2896 (or 2892 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 28.

The square root of 6105138040 is about 78135.3827660683. The cubic root of 6105138040 is about 1827.6729995550.

The spelling of 6105138040 in words is "six billion, one hundred five million, one hundred thirty-eight thousand, forty".