105713741 has 16 divisors (see below), whose sum is σ = 122923008. Its totient is φ = 89046000.

The previous prime is 105713723. The next prime is 105713749. The reversal of 105713741 is 147317501.

It is a cyclic number.

It is not a de Polignac number, because 105713741 - 2⁶ = 105713677 is a prime.

It is a super-2 number, since 2×105713741² = 22350790072430162, 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 (105713749) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 108386 + ... + 109356.

It is an arithmetic number, because the mean of its divisors is an integer number (7682688).

Almost surely, 2^105713741 is an apocalyptic number.

It is an amenable number.

105713741 is a deficient number, since it is larger than the sum of its proper divisors (17209267).

105713741 is a wasteful number, since it uses less digits than its factorization.

105713741 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1232.

The product of its (nonzero) digits is 2940, while the sum is 29.

The square root of 105713741 is about 10281.7187765470. The cubic root of 105713741 is about 472.8359411186.

The spelling of 105713741 in words is "one hundred five million, seven hundred thirteen thousand, seven hundred forty-one".