105608752 has 20 divisors (see below), whose sum is σ = 205439976. Its totient is φ = 52592000.

The previous prime is 105608717. The next prime is 105608759. The reversal of 105608752 is 257806501.

It is a super-2 number, since 2×105608752² = 22306416997995008, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105608759) 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 in 3 ways as a sum of consecutive naturals, for example, 9133 + ... + 17164.

Almost surely, 2^105608752 is an apocalyptic number.

It is an amenable number.

105608752 is a deficient number, since it is larger than the sum of its proper divisors (99831224).

105608752 is a wasteful number, since it uses less digits than its factorization.

105608752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26556 (or 26550 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 34.

The square root of 105608752 is about 10276.6118930317. The cubic root of 105608752 is about 472.6793578296.

It can be divided in two parts, 10560875 and 2, that multiplied together give a triangular number (21121750 = T₆₄₉₉).

The spelling of 105608752 in words is "one hundred five million, six hundred eight thousand, seven hundred fifty-two".