105752881 has 8 divisors (see below), whose sum is σ = 114994880. Its totient is φ = 96669072.

The previous prime is 105752849. The next prime is 105752891. The reversal of 105752881 is 188257501.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 105752881 - 2⁵ = 105752849 is a prime.

It is a super-2 number, since 2×105752881² = 22367343679600322, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105752881.

It is not an unprimeable number, because it can be changed into a prime (105752831) 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 7 ways as a sum of consecutive naturals, for example, 38151 + ... + 40828.

It is an arithmetic number, because the mean of its divisors is an integer number (14374360).

Almost surely, 2^105752881 is an apocalyptic number.

It is an amenable number.

105752881 is a deficient number, since it is larger than the sum of its proper divisors (9241999).

105752881 is a wasteful number, since it uses less digits than its factorization.

105752881 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79095.

The product of its (nonzero) digits is 22400, while the sum is 37.

The square root of 105752881 is about 10283.6219786610. The cubic root of 105752881 is about 472.8942889897.

It can be divided in two parts, 10575 and 2881, that added together give a square (13456 = 116²).

The spelling of 105752881 in words is "one hundred five million, seven hundred fifty-two thousand, eight hundred eighty-one".