105566252 has 24 divisors (see below), whose sum is σ = 202434960. Its totient is φ = 47770560.

The previous prime is 105566233. The next prime is 105566257. The reversal of 105566252 is 252665501.

It is a super-2 number, since 2×105566252² = 22288467122655008, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105566257) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4838 + ... + 15314.

It is an arithmetic number, because the mean of its divisors is an integer number (8434790).

Almost surely, 2^105566252 is an apocalyptic number.

It is an amenable number.

105566252 is a deficient number, since it is larger than the sum of its proper divisors (96868708).

105566252 is a wasteful number, since it uses less digits than its factorization.

105566252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10721 (or 10719 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 32.

The square root of 105566252 is about 10274.5438828203. The cubic root of 105566252 is about 472.6159427316.

The spelling of 105566252 in words is "one hundred five million, five hundred sixty-six thousand, two hundred fifty-two".