105325127 has 2 divisors, whose sum is σ = 105325128. Its totient is φ = 105325126.

The previous prime is 105325111. The next prime is 105325141. The reversal of 105325127 is 721523501.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 105325127 - 2⁴ = 105325111 is a prime.

It is a super-3 number, since 3×105325127³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is equal to p_6050285 and since 105325127 and 6050285 have the same sum of digits, it is a Honaker prime.

It is a junction number, because it is equal to n+sod(n) for n = 105325096 and 105325105.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105328127) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52662563 + 52662564.

It is an arithmetic number, because the mean of its divisors is an integer number (52662564).

Almost surely, 2^105325127 is an apocalyptic number.

105325127 is a deficient number, since it is larger than the sum of its proper divisors (1).

105325127 is an equidigital number, since it uses as much as digits as its factorization.

105325127 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 26.

The square root of 105325127 is about 10262.8030771325. The cubic root of 105325127 is about 472.2558327132.

Adding to 105325127 its reverse (721523501), we get a palindrome (826848628).

The spelling of 105325127 in words is "one hundred five million, three hundred twenty-five thousand, one hundred twenty-seven".