105717127 has 2 divisors, whose sum is σ = 105717128. Its totient is φ = 105717126.

The previous prime is 105717107. The next prime is 105717149. The reversal of 105717127 is 721717501.

It is a weak prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-105717127 is a prime.

It is a super-2 number, since 2×105717127² = 22352221882268258, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105717107) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52858563 + 52858564.

It is an arithmetic number, because the mean of its divisors is an integer number (52858564).

Almost surely, 2^105717127 is an apocalyptic number.

105717127 is a deficient number, since it is larger than the sum of its proper divisors (1).

105717127 is an equidigital number, since it uses as much as digits as its factorization.

105717127 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3430, while the sum is 31.

The square root of 105717127 is about 10281.8834364138. The cubic root of 105717127 is about 472.8409893599.

The spelling of 105717127 in words is "one hundred five million, seven hundred seventeen thousand, one hundred twenty-seven".