106846 has 8 divisors (see below), whose sum is σ = 164304. Its totient is φ = 52080.

The previous prime is 106823. The next prime is 106853. The reversal of 106846 is 648601.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a super-2 number, since 2×106846² = 22832135432, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 106846.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 570 + ... + 733.

It is an arithmetic number, because the mean of its divisors is an integer number (20538).

2¹⁰⁶⁸⁴⁶ is an apocalyptic number.

106846 is a deficient number, since it is larger than the sum of its proper divisors (57458).

106846 is a wasteful number, since it uses less digits than its factorization.

106846 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1346.

The product of its (nonzero) digits is 1152, while the sum is 25.

The square root of 106846 is about 326.8730640478. The cubic root of 106846 is about 47.4518070763.

It can be divided in two parts, 106 and 846, that multiplied together give a triangular number (89676 = T₄₂₃).

The spelling of 106846 in words is "one hundred six thousand, eight hundred forty-six".