105332417 has 2 divisors, whose sum is σ = 105332418. Its totient is φ = 105332416.

The previous prime is 105332351. The next prime is 105332419. The reversal of 105332417 is 714233501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 69822736 + 35509681 = 8356^2 + 5959^2 .

It is a cyclic number.

It is not a de Polignac number, because 105332417 - 2²⁰ = 104283841 is a prime.

It is a super-2 number, since 2×105332417² = 22189836142123778, which contains 22 as substring.

Together with 105332419, it forms a pair of twin primes.

It is a Chen prime.

It is equal to p_6050672 and since 105332417 and 6050672 have the same sum of digits, it is a Honaker prime.

It is not a weakly prime, because it can be changed into another prime (105332419) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52666208 + 52666209.

It is an arithmetic number, because the mean of its divisors is an integer number (52666209).

Almost surely, 2^105332417 is an apocalyptic number.

It is an amenable number.

105332417 is a deficient number, since it is larger than the sum of its proper divisors (1).

105332417 is an equidigital number, since it uses as much as digits as its factorization.

105332417 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2520, while the sum is 26.

The square root of 105332417 is about 10263.1582371120. The cubic root of 105332417 is about 472.2667280734.

Adding to 105332417 its reverse (714233501), we get a palindrome (819565918).

The spelling of 105332417 in words is "one hundred five million, three hundred thirty-two thousand, four hundred seventeen".