10005800111 has 2 divisors, whose sum is σ = 10005800112. Its totient is φ = 10005800110.

The previous prime is 10005800107. The next prime is 10005800113. The reversal of 10005800111 is 11100850001.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 10005800111 - 2² = 10005800107 is a prime.

It is a super-2 number, since 2×10005800111² (a number of 21 digits) contains 22 as substring.

Together with 10005800113, 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 10005800111.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10005800113) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5002900055 + 5002900056.

It is an arithmetic number, because the mean of its divisors is an integer number (5002900056).

Almost surely, 2^10005800111 is an apocalyptic number.

10005800111 is a deficient number, since it is larger than the sum of its proper divisors (1).

10005800111 is an equidigital number, since it uses as much as digits as its factorization.

10005800111 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 40, while the sum is 17.

The spelling of 10005800111 in words is "ten billion, five million, eight hundred thousand, one hundred eleven".