106640 has 40 divisors (see below), whose sum is σ = 261888. Its totient is φ = 40320.

The previous prime is 106637. The next prime is 106649. The reversal of 106640 is 46601.

106640 is nontrivially palindromic in base 6.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×106640² = 22744179200, which contains 22 as substring.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 106640.

It is not an unprimeable number, because it can be changed into a prime (106649) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2459 + ... + 2501.

2¹⁰⁶⁶⁴⁰ is an apocalyptic number.

106640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130944).

106640 is an abundant number, since it is smaller than the sum of its proper divisors (155248).

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

106640 is a wasteful number, since it uses less digits than its factorization.

106640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 106640 is about 326.5578049902. The cubic root of 106640 is about 47.4212916268.

The spelling of 106640 in words is "one hundred six thousand, six hundred forty".