105497111 has 2 divisors, whose sum is σ = 105497112. Its totient is φ = 105497110.

The previous prime is 105497071. The next prime is 105497137. The reversal of 105497111 is 111794501.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 105497111 - 2¹⁰ = 105496087 is a prime.

It is a super-2 number, since 2×105497111² = 22259280858692642, which contains 22 as substring.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105497011) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52748555 + 52748556.

It is an arithmetic number, because the mean of its divisors is an integer number (52748556).

Almost surely, 2^105497111 is an apocalyptic number.

105497111 is a deficient number, since it is larger than the sum of its proper divisors (1).

105497111 is an equidigital number, since it uses as much as digits as its factorization.

105497111 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1260, while the sum is 29.

The square root of 105497111 is about 10271.1786568047. The cubic root of 105497111 is about 472.5127396880.

The spelling of 105497111 in words is "one hundred five million, four hundred ninety-seven thousand, one hundred eleven".