105742 has 24 divisors (see below), whose sum is σ = 201096. Its totient is φ = 41328.

The previous prime is 105733. The next prime is 105751. The reversal of 105742 is 247501.

It is an interprime number because it is at equal distance from previous prime (105733) and next prime (105751).

It is a super-2 number, since 2×105742² = 22362741128, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1233 + ... + 1315.

It is an arithmetic number, because the mean of its divisors is an integer number (8379).

2¹⁰⁵⁷⁴² is an apocalyptic number.

105742 is a deficient number, since it is larger than the sum of its proper divisors (95354).

105742 is a wasteful number, since it uses less digits than its factorization.

105742 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 280, while the sum is 19.

The square root of 105742 is about 325.1799501814. The cubic root of 105742 is about 47.2878069607.

The spelling of 105742 in words is "one hundred five thousand, seven hundred forty-two".