105605240213 has 8 divisors (see below), whose sum is σ = 115598913696. Its totient is φ = 95677099600.

The previous prime is 105605240177. The next prime is 105605240233. The reversal of 105605240213 is 312042506501.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 105605240213 - 2¹² = 105605236117 is a prime.

It is a super-2 number, since 2×105605240213² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105605240233) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16379843 + ... + 16386288.

It is an arithmetic number, because the mean of its divisors is an integer number (14449864212).

Almost surely, 2^105605240213 is an apocalyptic number.

It is an amenable number.

105605240213 is a deficient number, since it is larger than the sum of its proper divisors (9993673483).

105605240213 is a wasteful number, since it uses less digits than its factorization.

105605240213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32766435.

The product of its (nonzero) digits is 7200, while the sum is 29.

Adding to 105605240213 its reverse (312042506501), we get a palindrome (417647746714).

The spelling of 105605240213 in words is "one hundred five billion, six hundred five million, two hundred forty thousand, two hundred thirteen".