105741 has 12 divisors (see below), whose sum is σ = 158080. Its totient is φ = 68040.

The previous prime is 105733. The next prime is 105751. The reversal of 105741 is 147501.

It is not a de Polignac number, because 105741 - 2³ = 105733 is a prime.

It is a super-2 number, since 2×105741² = 22362318162, 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 (105701) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 90 + ... + 468.

2¹⁰⁵⁷⁴¹ is an apocalyptic number.

It is an amenable number.

105741 is a deficient number, since it is larger than the sum of its proper divisors (52339).

105741 is a wasteful number, since it uses less digits than its factorization.

105741 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 416 (or 413 counting only the distinct ones).

The product of its (nonzero) digits is 140, while the sum is 18.

The square root of 105741 is about 325.1784125676. The cubic root of 105741 is about 47.2876578936.

The spelling of 105741 in words is "one hundred five thousand, seven hundred forty-one".