105132017 has 2 divisors, whose sum is σ = 105132018. Its totient is φ = 105132016.

The previous prime is 105131993. The next prime is 105132023. The reversal of 105132017 is 710231501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 69622336 + 35509681 = 8344^2 + 5959^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-105132017 is a prime.

It is a super-2 number, since 2×105132017² = 22105481996976578, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105132017.

It is not a weakly prime, because it can be changed into another prime (105131017) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52566008 + 52566009.

It is an arithmetic number, because the mean of its divisors is an integer number (52566009).

Almost surely, 2^105132017 is an apocalyptic number.

It is an amenable number.

105132017 is a deficient number, since it is larger than the sum of its proper divisors (1).

105132017 is an equidigital number, since it uses as much as digits as its factorization.

105132017 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 210, while the sum is 20.

The square root of 105132017 is about 10253.3905124110. The cubic root of 105132017 is about 471.9670345286.

Adding to 105132017 its reverse (710231501), we get a palindrome (815363518).

The spelling of 105132017 in words is "one hundred five million, one hundred thirty-two thousand, seventeen".