6105109968 has 100 divisors (see below), whose sum is σ = 17686340100. Its totient is φ = 2033150976.

The previous prime is 6105109931. The next prime is 6105109987. The reversal of 6105109968 is 8699015016.

It can be written as a sum of positive squares in 2 ways, for example, as 5537145744 + 567964224 = 74412^2 + 23832^2 .

It is a super-2 number, since 2×6105109968² = 74544735442745922048, which contains 22 as substring.

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 19 ways as a sum of consecutive naturals, for example, 2524696 + ... + 2527112.

It is an arithmetic number, because the mean of its divisors is an integer number (176863401).

Almost surely, 2^6105109968 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 6105109968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8843170050).

6105109968 is an abundant number, since it is smaller than the sum of its proper divisors (11581230132).

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

6105109968 is a wasteful number, since it uses less digits than its factorization.

6105109968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4386 (or 4371 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 45.

The square root of 6105109968 is about 78135.2031289354. The cubic root of 6105109968 is about 1827.6701982798.

The spelling of 6105109968 in words is "six billion, one hundred five million, one hundred nine thousand, nine hundred sixty-eight".