105605533 has 10 divisors (see below), whose sum is σ = 116181470. Its totient is φ = 95991720.

The previous prime is 105605503. The next prime is 105605537. The reversal of 105605533 is 335506501.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 100861849 + 4743684 = 10043^2 + 2178^2 .

It is not a de Polignac number, because 105605533 - 2¹³ = 105597341 is a prime.

It is a super-3 number, since 3×105605533³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105605537) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 11035 + ... + 18247.

It is an arithmetic number, because the mean of its divisors is an integer number (11618147).

Almost surely, 2^105605533 is an apocalyptic number.

It is an amenable number.

105605533 is a deficient number, since it is larger than the sum of its proper divisors (10575937).

105605533 is an frugal number, since it uses more digits than its factorization.

105605533 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7257 (or 7224 counting only the distinct ones).

The product of its (nonzero) digits is 6750, while the sum is 28.

The square root of 105605533 is about 10276.4552740719. The cubic root of 105605533 is about 472.6745552911.

The spelling of 105605533 in words is "one hundred five million, six hundred five thousand, five hundred thirty-three".