105307344 has 80 divisors (see below), whose sum is σ = 309355200. Its totient is φ = 34280064.

The previous prime is 105307339. The next prime is 105307369. The reversal of 105307344 is 443703501.

105307344 is a `hidden beast` number, since 10 + 5 + 307 + 344 = 666.

It is a super-2 number, since 2×105307344² = 22179273400668672, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 15742 + ... + 21410.

It is an arithmetic number, because the mean of its divisors is an integer number (3866940).

Almost surely, 2^105307344 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 105307344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154677600).

105307344 is an abundant number, since it is smaller than the sum of its proper divisors (204047856).

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

105307344 is a wasteful number, since it uses less digits than its factorization.

105307344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5729 (or 5717 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 105307344 is about 10261.9366593251. The cubic root of 105307344 is about 472.2292528001.

The spelling of 105307344 in words is "one hundred five million, three hundred seven thousand, three hundred forty-four".