105123017 has 2 divisors, whose sum is σ = 105123018. Its totient is φ = 105123016.

The previous prime is 105123001. The next prime is 105123037. The reversal of 105123017 is 710321501.

It is an a-pointer prime, because the next prime (105123037) can be obtained adding 105123017 to its sum of digits (20).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 102495376 + 2627641 = 10124^2 + 1621^2 .

It is a cyclic number.

It is not a de Polignac number, because 105123017 - 2⁴ = 105123001 is a prime.

It is a super-2 number, since 2×105123017² = 22101697406364578, 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 105123017.

It is not a weakly prime, because it can be changed into another prime (105123037) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52561508 + 52561509.

It is an arithmetic number, because the mean of its divisors is an integer number (52561509).

Almost surely, 2^105123017 is an apocalyptic number.

It is an amenable number.

105123017 is a deficient number, since it is larger than the sum of its proper divisors (1).

105123017 is an equidigital number, since it uses as much as digits as its factorization.

105123017 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 105123017 is about 10252.9516238008. The cubic root of 105123017 is about 471.9535663050.

Adding to 105123017 its reverse (710321501), we get a palindrome (815444518).

The spelling of 105123017 in words is "one hundred five million, one hundred twenty-three thousand, seventeen".