5005103436 has 72 divisors (see below), whose sum is σ = 12906548928. Its totient is φ = 1634976000.

The previous prime is 5005103429. The next prime is 5005103459. The reversal of 5005103436 is 6343015005.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 613021 + ... + 621131.

It is an arithmetic number, because the mean of its divisors is an integer number (179257624).

Almost surely, 2^5005103436 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 5005103436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6453274464).

5005103436 is an abundant number, since it is smaller than the sum of its proper divisors (7901445492).

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

5005103436 is a wasteful number, since it uses less digits than its factorization.

5005103436 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8463 (or 8458 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

The square root of 5005103436 is about 70746.7556570618. The cubic root of 5005103436 is about 1710.5575323696.

The spelling of 5005103436 in words is "five billion, five million, one hundred three thousand, four hundred thirty-six".