107105111 has 2 divisors, whose sum is σ = 107105112. Its totient is φ = 107105110.

The previous prime is 107105099. The next prime is 107105113. The reversal of 107105111 is 111501701.

It is a happy number.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 107105111 - 2¹⁴ = 107088727 is a prime.

It is a super-2 number, since 2×107105111² = 22943009604644642, which contains 22 as substring.

Together with 107105113, 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 107105111.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (107105113) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53552555 + 53552556.

It is an arithmetic number, because the mean of its divisors is an integer number (53552556).

Almost surely, 2^107105111 is an apocalyptic number.

107105111 is a deficient number, since it is larger than the sum of its proper divisors (1).

107105111 is an equidigital number, since it uses as much as digits as its factorization.

107105111 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 35, while the sum is 17.

The square root of 107105111 is about 10349.1599175972. The cubic root of 107105111 is about 474.9013438691.

Adding to 107105111 its reverse (111501701), we get a palindrome (218606812).

The spelling of 107105111 in words is "one hundred seven million, one hundred five thousand, one hundred eleven".