105431017 has 2 divisors, whose sum is σ = 105431018. Its totient is φ = 105431016.

The previous prime is 105431009. The next prime is 105431021. The reversal of 105431017 is 710134501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 63297936 + 42133081 = 7956^2 + 6491^2 .

It is a cyclic number.

It is not a de Polignac number, because 105431017 - 2³ = 105431009 is a prime.

It is a super-2 number, since 2×105431017² = 22231398691308578, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (105431077) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52715508 + 52715509.

It is an arithmetic number, because the mean of its divisors is an integer number (52715509).

Almost surely, 2^105431017 is an apocalyptic number.

It is an amenable number.

105431017 is a deficient number, since it is larger than the sum of its proper divisors (1).

105431017 is an equidigital number, since it uses as much as digits as its factorization.

105431017 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 420, while the sum is 22.

The square root of 105431017 is about 10267.9607030802. The cubic root of 105431017 is about 472.4140425739.

Adding to 105431017 its reverse (710134501), we get a palindrome (815565518).

The spelling of 105431017 in words is "one hundred five million, four hundred thirty-one thousand, seventeen".