105165127 has 2 divisors, whose sum is σ = 105165128. Its totient is φ = 105165126.

The previous prime is 105165103. The next prime is 105165149. The reversal of 105165127 is 721561501.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 105165127 - 2¹⁵ = 105132359 is a prime.

It is a super-2 number, since 2×105165127² = 22119407873852258, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105165095 and 105165104.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105165157) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52582563 + 52582564.

It is an arithmetic number, because the mean of its divisors is an integer number (52582564).

Almost surely, 2^105165127 is an apocalyptic number.

105165127 is a deficient number, since it is larger than the sum of its proper divisors (1).

105165127 is an equidigital number, since it uses as much as digits as its factorization.

105165127 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2100, while the sum is 28.

The square root of 105165127 is about 10255.0049731826. The cubic root of 105165127 is about 472.0165760122.

The spelling of 105165127 in words is "one hundred five million, one hundred sixty-five thousand, one hundred twenty-seven".