107142 has 16 divisors (see below), whose sum is σ = 244992. Its totient is φ = 30600.

The previous prime is 107137. The next prime is 107171. The reversal of 107142 is 241701.

It is a super-2 number, since 2×107142² = 22958816328, which contains 22 as substring.

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 107142.

It is an unprimeable number.

107142 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1234 + ... + 1317.

It is an arithmetic number, because the mean of its divisors is an integer number (15312).

2¹⁰⁷¹⁴² is an apocalyptic number.

107142 is an abundant number, since it is smaller than the sum of its proper divisors (137850).

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

107142 is a wasteful number, since it uses less digits than its factorization.

107142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2563.

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

The square root of 107142 is about 327.3255260440. The cubic root of 107142 is about 47.4955859241.

Adding to 107142 its reverse (241701), we get a palindrome (348843).

The spelling of 107142 in words is "one hundred seven thousand, one hundred forty-two", and thus it is an iban number.