10006100503 has 8 divisors (see below), whose sum is σ = 11596608000. Its totient is φ = 8455859160.

The previous prime is 10006100479. The next prime is 10006100519. The reversal of 10006100503 is 30500160001.

10006100503 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 10006100503 - 2⁹ = 10006099991 is a prime.

It is a super-2 number, since 2×10006100503² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10006100543) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10066003 + ... + 10066996.

It is an arithmetic number, because the mean of its divisors is an integer number (1449576000).

Almost surely, 2^10006100503 is an apocalyptic number.

10006100503 is a deficient number, since it is larger than the sum of its proper divisors (1590507497).

10006100503 is an equidigital number, since it uses as much as digits as its factorization.

10006100503 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20133077.

The product of its (nonzero) digits is 90, while the sum is 16.

Adding to 10006100503 its reverse (30500160001), we get a palindrome (40506260504).

The spelling of 10006100503 in words is "ten billion, six million, one hundred thousand, five hundred three".