101742 has 16 divisors (see below), whose sum is σ = 210432. Its totient is φ = 32760.

The previous prime is 101741. The next prime is 101747. The reversal of 101742 is 247101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101741) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 88 + ... + 459.

It is an arithmetic number, because the mean of its divisors is an integer number (13152).

2¹⁰¹⁷⁴² is an apocalyptic number.

101742 is an abundant number, since it is smaller than the sum of its proper divisors (108690).

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

101742 is a wasteful number, since it uses less digits than its factorization.

101742 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 583.

The product of its (nonzero) digits is 56, while the sum is 15.

The square root of 101742 is about 318.9702180455. The cubic root of 101742 is about 46.6838598779.

Adding to 101742 its reverse (247101), we get a palindrome (348843).

The spelling of 101742 in words is "one hundred one thousand, seven hundred forty-two", and thus it is an iban number.