104742 has 36 divisors (see below), whose sum is σ = 258804. Its totient is φ = 30360.

The previous prime is 104729. The next prime is 104743. The reversal of 104742 is 247401.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104743) by changing a digit.

104742 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 4543 + ... + 4565.

It is an arithmetic number, because the mean of its divisors is an integer number (7189).

2¹⁰⁴⁷⁴² is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 104742, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129402).

104742 is an abundant number, since it is smaller than the sum of its proper divisors (154062).

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

104742 is a wasteful number, since it uses less digits than its factorization.

104742 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65 (or 39 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 18.

The square root of 104742 is about 323.6386874278. The cubic root of 104742 is about 47.1382679515.

It can be divided in two parts, 1047 and 42, that added together give a square (1089 = 33²).

The spelling of 104742 in words is "one hundred four thousand, seven hundred forty-two", and thus it is an iban number.