10742 has 8 divisors (see below), whose sum is σ = 16632. Its totient is φ = 5200.

The previous prime is 10739. The next prime is 10753. The reversal of 10742 is 24701.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 10742.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 17 + ... + 147.

It is an arithmetic number, because the mean of its divisors is an integer number (2079).

2¹⁰⁷⁴² is an apocalyptic number.

10742 is a deficient number, since it is larger than the sum of its proper divisors (5890).

10742 is a wasteful number, since it uses less digits than its factorization.

10742 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174.

The product of its (nonzero) digits is 56, while the sum is 14.

The square root of 10742 is about 103.6436201606. The cubic root of 10742 is about 22.0645487187.

The spelling of 10742 in words is "ten thousand, seven hundred forty-two", and thus it is an iban number.