106840 has 16 divisors (see below), whose sum is σ = 240480. Its totient is φ = 42720.

The previous prime is 106823. The next prime is 106853. The reversal of 106840 is 48601.

106840 is nontrivially palindromic in base 7.

It is a super-2 number, since 2×106840² = 22829571200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable 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 3 ways as a sum of consecutive naturals, for example, 1296 + ... + 1375.

It is an arithmetic number, because the mean of its divisors is an integer number (15030).

2¹⁰⁶⁸⁴⁰ is an apocalyptic number.

106840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106840 is an abundant number, since it is smaller than the sum of its proper divisors (133640).

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

106840 is a wasteful number, since it uses less digits than its factorization.

106840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2682 (or 2678 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

The square root of 106840 is about 326.8638860443. The cubic root of 106840 is about 47.4509188316.

It can be divided in two parts, 106 and 840, that added together give a triangular number (946 = T₄₃).

The spelling of 106840 in words is "one hundred six thousand, eight hundred forty".