105605613 has 24 divisors (see below), whose sum is σ = 160445376. Its totient is φ = 69400800.

The previous prime is 105605611. The next prime is 105605639. The reversal of 105605613 is 316506501.

It is a happy number.

It is not a de Polignac number, because 105605613 - 2¹ = 105605611 is a prime.

It is a super-3 number, since 3×105605613³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105605611) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14193 + ... + 20313.

It is an arithmetic number, because the mean of its divisors is an integer number (6685224).

Almost surely, 2^105605613 is an apocalyptic number.

It is an amenable number.

105605613 is a deficient number, since it is larger than the sum of its proper divisors (54839763).

105605613 is an frugal number, since it uses more digits than its factorization.

105605613 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6207 (or 6195 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

The square root of 105605613 is about 10276.4591664639. The cubic root of 105605613 is about 472.6746746470.

The spelling of 105605613 in words is "one hundred five million, six hundred five thousand, six hundred thirteen".