5105307600 has 360 divisors, whose sum is σ = 18859432800. Its totient is φ = 1275264000.

The previous prime is 5105307593. The next prime is 5105307629. The reversal of 5105307600 is 67035015.

5105307600 is a `hidden beast` number, since 5 + 1 + 0 + 53 + 0 + 7 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6908031 + ... + 6908769.

Almost surely, 2^5105307600 is an apocalyptic number.

5105307600 is a gapful number since it is divisible by the number (50) 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 5105307600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9429716400).

5105307600 is an abundant number, since it is smaller than the sum of its proper divisors (13754125200).

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

5105307600 is a wasteful number, since it uses less digits than its factorization.

5105307600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 883 (or 869 counting only the distinct ones).

The product of its (nonzero) digits is 3150, while the sum is 27.

The square root of 5105307600 is about 71451.4352550038. The cubic root of 5105307600 is about 1721.8975362634.

The spelling of 5105307600 in words is "five billion, one hundred five million, three hundred seven thousand, six hundred".