105075756 has 36 divisors (see below), whose sum is σ = 265919472. Its totient is φ = 34984224.

The previous prime is 105075731. The next prime is 105075769. The reversal of 105075756 is 657570501.

105075756 is digitally balanced in base 9, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×105075756² = 22081828997943072, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

105075756 is strictly pandigital in base 9.

It is a self number, because there is not a number n which added to its sum of digits gives 105075756.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 58041 + ... + 59823.

It is an arithmetic number, because the mean of its divisors is an integer number (7386652).

Almost surely, 2^105075756 is an apocalyptic number.

It is an amenable number.

105075756 is an abundant number, since it is smaller than the sum of its proper divisors (160843716).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

105075756 is a wasteful number, since it uses less digits than its factorization.

105075756 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3430 (or 3425 counting only the distinct ones).

The product of its (nonzero) digits is 36750, while the sum is 36.

The square root of 105075756 is about 10250.6466137508. The cubic root of 105075756 is about 471.8828290501.

The spelling of 105075756 in words is "one hundred five million, seventy-five thousand, seven hundred fifty-six".