105665641 has 2 divisors, whose sum is σ = 105665642. Its totient is φ = 105665640.

The previous prime is 105665629. The next prime is 105665653. The reversal of 105665641 is 146566501.

It is a happy number.

It is a balanced prime because it is at equal distance from previous prime (105665629) and next prime (105665653).

It can be written as a sum of positive squares in only one way, i.e., 86490000 + 19175641 = 9300^2 + 4379^2 .

It is a cyclic number.

It is not a de Polignac number, because 105665641 - 2⁷ = 105665513 is a prime.

It is a super-2 number, since 2×105665641² = 22330455375881762, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105665597 and 105665606.

It is not a weakly prime, because it can be changed into another prime (105665041) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52832820 + 52832821.

It is an arithmetic number, because the mean of its divisors is an integer number (52832821).

Almost surely, 2^105665641 is an apocalyptic number.

It is an amenable number.

105665641 is a deficient number, since it is larger than the sum of its proper divisors (1).

105665641 is an equidigital number, since it uses as much as digits as its factorization.

105665641 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 21600, while the sum is 34.

The square root of 105665641 is about 10279.3794073378. The cubic root of 105665641 is about 472.7642164186.

The spelling of 105665641 in words is "one hundred five million, six hundred sixty-five thousand, six hundred forty-one".