6103641600 has 900 divisors, whose sum is σ = 26738118264. Its totient is φ = 1347010560.

The previous prime is 6103641569. The next prime is 6103641601. The reversal of 6103641600 is 61463016.

6103641600 is a `hidden beast` number, since 6 + 10 + 3 + 6 + 41 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (900).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6103641601) by changing a digit.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 210470386 + ... + 210470414.

Almost surely, 2^6103641600 is an apocalyptic number.

6103641600 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 6103641600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13369059132).

6103641600 is an abundant number, since it is smaller than the sum of its proper divisors (20634476664).

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

6103641600 is an equidigital number, since it uses as much as digits as its factorization.

6103641600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 6103641600 is about 78125.8062358399. The cubic root of 6103641600 is about 1827.5236594169.

The spelling of 6103641600 in words is "six billion, one hundred three million, six hundred forty-one thousand, six hundred".