6106015600 has 120 divisors (see below), whose sum is σ = 14891502240. Its totient is φ = 2405760000.

The previous prime is 6106015547. The next prime is 6106015603. The reversal of 6106015600 is 65106016.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6106015603) 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, 14503390 + ... + 14503810.

It is an arithmetic number, because the mean of its divisors is an integer number (124095852).

Almost surely, 2^6106015600 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 6106015600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7445751120).

6106015600 is an abundant number, since it is smaller than the sum of its proper divisors (8785486640).

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

6106015600 is a wasteful number, since it uses less digits than its factorization.

6106015600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 899 (or 888 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 25.

The square root of 6106015600 is about 78140.9982019682. The cubic root of 6106015600 is about 1827.7605660094.

The spelling of 6106015600 in words is "six billion, one hundred six million, fifteen thousand, six hundred".