10006090181 has 2 divisors, whose sum is σ = 10006090182. Its totient is φ = 10006090180.

The previous prime is 10006090141. The next prime is 10006090183. The reversal of 10006090181 is 18109060001.

10006090181 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9768159556 + 237930625 = 98834^2 + 15425^2 .

It is an emirp because it is prime and its reverse (18109060001) is a distict prime. It is also a bemirp because it and its reverse can be mirrored producing other two distinct primes, 18106090001 and 10009060181.

It is a cyclic number.

It is not a de Polignac number, because 10006090181 - 2³⁰ = 8932348357 is a prime.

It is a super-2 number, since 2×10006090181² (a number of 21 digits) contains 22 as substring.

Together with 10006090183, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10006090181.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10006090183) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5003045090 + 5003045091.

It is an arithmetic number, because the mean of its divisors is an integer number (5003045091).

Almost surely, 2^10006090181 is an apocalyptic number.

It is an amenable number.

10006090181 is a deficient number, since it is larger than the sum of its proper divisors (1).

10006090181 is an equidigital number, since it uses as much as digits as its factorization.

10006090181 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 432, while the sum is 26.

The spelling of 10006090181 in words is "ten billion, six million, ninety thousand, one hundred eighty-one".