5103834120 has 576 divisors, whose sum is σ = 21799627200. Its totient is φ = 1022837760.

The previous prime is 5103834107. The next prime is 5103834133. The reversal of 5103834120 is 214383015.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (5103834107) and next prime (5103834133).

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 143 ways as a sum of consecutive naturals, for example, 5626707 + ... + 5627613.

It is an arithmetic number, because the mean of its divisors is an integer number (37846575).

Almost surely, 2^5103834120 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 5103834120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10899813600).

5103834120 is an abundant number, since it is smaller than the sum of its proper divisors (16695793080).

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

5103834120 is a wasteful number, since it uses less digits than its factorization.

5103834120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 978 (or 964 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 5103834120 is about 71441.1234514128. The cubic root of 5103834120 is about 1721.7318638619.

It can be divided in two parts, 51038 and 34120, that added together give a palindrome (85158).

The spelling of 5103834120 in words is "five billion, one hundred three million, eight hundred thirty-four thousand, one hundred twenty".