5006103564123 has 96 divisors (see below), whose sum is σ = 7758308293632. Its totient is φ = 3103559712000.

The previous prime is 5006103564071. The next prime is 5006103564127. The reversal of 5006103564123 is 3214653016005.

5006103564123 is a `hidden beast` number, since 5 + 0 + 0 + 6 + 1 + 0 + 3 + 5 + 641 + 2 + 3 = 666.

It is not a de Polignac number, because 5006103564123 - 2⁹ = 5006103563611 is a prime.

It is a super-2 number, since 2×5006103564123² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (5006103564127) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 825133536 + ... + 825139602.

It is an arithmetic number, because the mean of its divisors is an integer number (80815711392).

Almost surely, 2^{5006103564123} is an apocalyptic number.

5006103564123 is a deficient number, since it is larger than the sum of its proper divisors (2752204729509).

5006103564123 is a wasteful number, since it uses less digits than its factorization.

5006103564123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6905 (or 6902 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The spelling of 5006103564123 in words is "five trillion, six billion, one hundred three million, five hundred sixty-four thousand, one hundred twenty-three".