105353617 has 2 divisors, whose sum is σ = 105353618. Its totient is φ = 105353616.

The previous prime is 105353557. The next prime is 105353657. The reversal of 105353617 is 716353501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 91987281 + 13366336 = 9591^2 + 3656^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-105353617 is a prime.

It is a super-2 number, since 2×105353617² = 22198769229965378, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (105353657) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52676808 + 52676809.

It is an arithmetic number, because the mean of its divisors is an integer number (52676809).

Almost surely, 2^105353617 is an apocalyptic number.

It is an amenable number.

105353617 is a deficient number, since it is larger than the sum of its proper divisors (1).

105353617 is an equidigital number, since it uses as much as digits as its factorization.

105353617 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 9450, while the sum is 31.

The square root of 105353617 is about 10264.1910056273. The cubic root of 105353617 is about 472.2984099408.

The spelling of 105353617 in words is "one hundred five million, three hundred fifty-three thousand, six hundred seventeen".