107742 has 8 divisors (see below), whose sum is σ = 215496. Its totient is φ = 35912.

The previous prime is 107741. The next prime is 107747. The reversal of 107742 is 247701.

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

107742 is an admirable number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107741) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 8973 + ... + 8984.

It is an arithmetic number, because the mean of its divisors is an integer number (26937).

2¹⁰⁷⁷⁴² is an apocalyptic number.

107742 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

107742 is a wasteful number, since it uses less digits than its factorization.

107742 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17962.

The product of its (nonzero) digits is 392, while the sum is 21.

The square root of 107742 is about 328.2407652928. The cubic root of 107742 is about 47.5840800750.

The spelling of 107742 in words is "one hundred seven thousand, seven hundred forty-two", and thus it is an iban number.