105525617 has 2 divisors, whose sum is σ = 105525618. Its totient is φ = 105525616.

The previous prime is 105525583. The next prime is 105525631. The reversal of 105525617 is 716525501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 63936016 + 41589601 = 7996^2 + 6449^2 .

It is an emirp because it is prime and its reverse (716525501) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 105525617 - 2²⁰ = 104477041 is a prime.

It is a super-2 number, since 2×105525617² = 22271311686461378, which contains 22 as substring.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (105545617) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52762808 + 52762809.

It is an arithmetic number, because the mean of its divisors is an integer number (52762809).

Almost surely, 2^105525617 is an apocalyptic number.

It is an amenable number.

105525617 is a deficient number, since it is larger than the sum of its proper divisors (1).

105525617 is an equidigital number, since it uses as much as digits as its factorization.

105525617 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 10500, while the sum is 32.

The square root of 105525617 is about 10272.5662324465. The cubic root of 105525617 is about 472.5552945190. Note that the first 3 decimals are identical.

The spelling of 105525617 in words is "one hundred five million, five hundred twenty-five thousand, six hundred seventeen".