105689653 has 2 divisors, whose sum is σ = 105689654. Its totient is φ = 105689652.

The previous prime is 105689651. The next prime is 105689681. The reversal of 105689653 is 356986501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 84511249 + 21178404 = 9193^2 + 4602^2 .

It is an emirp because it is prime and its reverse (356986501) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 105689653 - 2¹ = 105689651 is a prime.

It is a super-2 number, since 2×105689653² = 22340605502520818, which contains 22 as substring.

Together with 105689651, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105689651) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52844826 + 52844827.

It is an arithmetic number, because the mean of its divisors is an integer number (52844827).

Almost surely, 2^105689653 is an apocalyptic number.

It is an amenable number.

105689653 is a deficient number, since it is larger than the sum of its proper divisors (1).

105689653 is an equidigital number, since it uses as much as digits as its factorization.

105689653 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 194400, while the sum is 43.

The square root of 105689653 is about 10280.5473103332. The cubic root of 105689653 is about 472.8000248248.

It can be divided in two parts, 1056 and 89653, that added together give a palindrome (90709).

The spelling of 105689653 in words is "one hundred five million, six hundred eighty-nine thousand, six hundred fifty-three".