105753344 has 36 divisors (see below), whose sum is σ = 211799280. Its totient is φ = 52700160.

The previous prime is 105753331. The next prime is 105753353. The reversal of 105753344 is 443357501.

It is a super-2 number, since 2×105753344² = 22367539534364672, which contains 22 as substring.

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 105753344.

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 3 ways as a sum of consecutive naturals, for example, 111914 + ... + 112854.

Almost surely, 2^105753344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105753344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105899640).

105753344 is an abundant number, since it is smaller than the sum of its proper divisors (106045936).

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

105753344 is an frugal number, since it uses more digits than its factorization.

105753344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1396 (or 1382 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 32.

The square root of 105753344 is about 10283.6444901601. The cubic root of 105753344 is about 472.8949791198.

The spelling of 105753344 in words is "one hundred five million, seven hundred fifty-three thousand, three hundred forty-four".