106839 has 10 divisors (see below), whose sum is σ = 159720. Its totient is φ = 71172.

The previous prime is 106823. The next prime is 106853. The reversal of 106839 is 938601.

It is not a de Polignac number, because 106839 - 2⁴ = 106823 is a prime.

It is a super-2 number, since 2×106839² = 22829143842, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106859) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 579 + ... + 740.

It is an arithmetic number, because the mean of its divisors is an integer number (15972).

2¹⁰⁶⁸³⁹ is an apocalyptic number.

106839 is a deficient number, since it is larger than the sum of its proper divisors (52881).

106839 is an equidigital number, since it uses as much as digits as its factorization.

106839 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1331 (or 1322 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 106839 is about 326.8623563520. The cubic root of 106839 is about 47.4507707876.

The spelling of 106839 in words is "one hundred six thousand, eight hundred thirty-nine".