10006100519 has 2 divisors, whose sum is σ = 10006100520. Its totient is φ = 10006100518.

The previous prime is 10006100479. The next prime is 10006100543. The reversal of 10006100519 is 91500160001.

10006100519 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10006100519 is a prime.

It is a super-2 number, since 2×10006100519² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10006100494 and 10006100503.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10006100569) 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 as a sum of consecutive naturals, namely, 5003050259 + 5003050260.

It is an arithmetic number, because the mean of its divisors is an integer number (5003050260).

Almost surely, 2^10006100519 is an apocalyptic number.

10006100519 is a deficient number, since it is larger than the sum of its proper divisors (1).

10006100519 is an equidigital number, since it uses as much as digits as its factorization.

10006100519 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 270, while the sum is 23.

The spelling of 10006100519 in words is "ten billion, six million, one hundred thousand, five hundred nineteen".