105123217 has 2 divisors, whose sum is σ = 105123218. Its totient is φ = 105123216.

The previous prime is 105123209. The next prime is 105123233. The reversal of 105123217 is 712321501.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 60980481 + 44142736 = 7809^2 + 6644^2 .

It is a cyclic number.

It is not a de Polignac number, because 105123217 - 2³ = 105123209 is a prime.

It is a super-2 number, since 2×105123217² = 22101781504858178, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (105123017) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52561608 + 52561609.

It is an arithmetic number, because the mean of its divisors is an integer number (52561609).

Almost surely, 2^105123217 is an apocalyptic number.

It is an amenable number.

105123217 is a deficient number, since it is larger than the sum of its proper divisors (1).

105123217 is an equidigital number, since it uses as much as digits as its factorization.

105123217 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 105123217 is about 10252.9613770852. The cubic root of 105123217 is about 471.9538656072.

Adding to 105123217 its reverse (712321501), we get a palindrome (817444718).

The spelling of 105123217 in words is "one hundred five million, one hundred twenty-three thousand, two hundred seventeen".