105642 has 12 divisors (see below), whose sum is σ = 228930. Its totient is φ = 35208.

The previous prime is 105619. The next prime is 105649. The reversal of 105642 is 246501.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 103041 + 2601 = 321^2 + 51^2 .

It is a super-2 number, since 2×105642² = 22320464328, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18), and also a Moran number because the ratio is a prime number: 5869 = 105642 / (1 + 0 + 5 + 6 + 4 + 2).

It is not an unprimeable number, because it can be changed into a prime (105649) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2917 + ... + 2952.

2¹⁰⁵⁶⁴² is an apocalyptic number.

105642 is an abundant number, since it is smaller than the sum of its proper divisors (123288).

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

105642 is a wasteful number, since it uses less digits than its factorization.

105642 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5877 (or 5874 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 105642 is about 325.0261527939. The cubic root of 105642 is about 47.2728955974.

It can be divided in two parts, 105 and 642, that added together give a palindrome (747).

The spelling of 105642 in words is "one hundred five thousand, six hundred forty-two".