100105111 has 2 divisors, whose sum is σ = 100105112. Its totient is φ = 100105110.

The previous prime is 100105097. The next prime is 100105121. The reversal of 100105111 is 111501001.

It is an a-pointer prime, because the next prime (100105121) can be obtained adding 100105111 to its sum of digits (10).

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 100105111 - 2⁵ = 100105079 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100105121) by changing a digit.

It is a good prime.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50052555 + 50052556.

It is an arithmetic number, because the mean of its divisors is an integer number (50052556).

Almost surely, 2^100105111 is an apocalyptic number.

100105111 is a deficient number, since it is larger than the sum of its proper divisors (1).

100105111 is an equidigital number, since it uses as much as digits as its factorization.

100105111 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 5, while the sum is 10.

The square root of 100105111 is about 10005.2541696850. The cubic root of 100105111 is about 464.3214537627.

Adding to 100105111 its reverse (111501001), we get a palindrome (211606112).

The spelling of 100105111 in words is "one hundred million, one hundred five thousand, one hundred eleven".