105607127 has 2 divisors, whose sum is σ = 105607128. Its totient is φ = 105607126.

The previous prime is 105607039. The next prime is 105607141. The reversal of 105607127 is 721706501.

It is a strong prime.

It is an emirp because it is prime and its reverse (721706501) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 105607127 - 2⁸ = 105606871 is a prime.

It is a super-2 number, since 2×105607127² = 22305730546388258, which contains 22 as substring.

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 105607127.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105607727) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52803563 + 52803564.

It is an arithmetic number, because the mean of its divisors is an integer number (52803564).

Almost surely, 2^105607127 is an apocalyptic number.

105607127 is a deficient number, since it is larger than the sum of its proper divisors (1).

105607127 is an equidigital number, since it uses as much as digits as its factorization.

105607127 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2940, while the sum is 29.

The square root of 105607127 is about 10276.5328297048. The cubic root of 105607127 is about 472.6769334475.

The spelling of 105607127 in words is "one hundred five million, six hundred seven thousand, one hundred twenty-seven".