105353743 has 16 divisors (see below), whose sum is σ = 124291584. Its totient is φ = 88216960.

The previous prime is 105353707. The next prime is 105353747. The reversal of 105353743 is 347353501.

It is a cyclic number.

It is not a de Polignac number, because 105353743 - 2¹⁷ = 105222671 is a prime.

It is a super-2 number, since 2×105353743² = 22198822328220098, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105353747) 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 15 ways as a sum of consecutive naturals, for example, 2796 + ... + 14782.

It is an arithmetic number, because the mean of its divisors is an integer number (7768224).

Almost surely, 2^105353743 is an apocalyptic number.

105353743 is a deficient number, since it is larger than the sum of its proper divisors (18937841).

105353743 is a wasteful number, since it uses less digits than its factorization.

105353743 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12062.

The product of its (nonzero) digits is 18900, while the sum is 31.

The square root of 105353743 is about 10264.1971434691. The cubic root of 105353743 is about 472.2985982260.

The spelling of 105353743 in words is "one hundred five million, three hundred fifty-three thousand, seven hundred forty-three".