105111101 has 2 divisors, whose sum is σ = 105111102. Its totient is φ = 105111100.

The previous prime is 105111089. The next prime is 105111103. The reversal of 105111101 is 101111501.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 70123876 + 34987225 = 8374^2 + 5915^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-105111101 is a prime.

It is a super-2 number, since 2×105111101² = 22096687106864402, which contains 22 as substring.

Together with 105111103, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105111103) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52555550 + 52555551.

It is an arithmetic number, because the mean of its divisors is an integer number (52555551).

Almost surely, 2^105111101 is an apocalyptic number.

It is an amenable number.

105111101 is a deficient number, since it is larger than the sum of its proper divisors (1).

105111101 is an equidigital number, since it uses as much as digits as its factorization.

105111101 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 11.

The square root of 105111101 is about 10252.3705063756. The cubic root of 105111101 is about 471.9357331943.

Adding to 105111101 its reverse (101111501), we get a palindrome (206222602).

The spelling of 105111101 in words is "one hundred five million, one hundred eleven thousand, one hundred one".