5105255904 has 480 divisors, whose sum is σ = 18295683840. Its totient is φ = 1382185728.

The previous prime is 5105255867. The next prime is 5105255921. The reversal of 5105255904 is 4095525015.

5105255904 is a `hidden beast` number, since 5 + 10 + 52 + 5 + 590 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 47712619 + ... + 47712725.

It is an arithmetic number, because the mean of its divisors is an integer number (38116008).

Almost surely, 2^5105255904 is an apocalyptic number.

5105255904 is a gapful number since it is divisible by the number (54) 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 5105255904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9147841920).

5105255904 is an abundant number, since it is smaller than the sum of its proper divisors (13190427936).

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

5105255904 is a wasteful number, since it uses less digits than its factorization.

5105255904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 45000, while the sum is 36.

The square root of 5105255904 is about 71451.0734978839. The cubic root of 5105255904 is about 1721.8917243044.

The spelling of 5105255904 in words is "five billion, one hundred five million, two hundred fifty-five thousand, nine hundred four".