106680 has 64 divisors (see below), whose sum is σ = 368640. Its totient is φ = 24192.

The previous prime is 106669. The next prime is 106681. The reversal of 106680 is 86601.

It is a super-2 number, since 2×106680² = 22761244800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106681) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 777 + ... + 903.

It is an arithmetic number, because the mean of its divisors is an integer number (5760).

2¹⁰⁶⁶⁸⁰ is an apocalyptic number.

106680 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 106680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184320).

106680 is an abundant number, since it is smaller than the sum of its proper divisors (261960).

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

106680 is a wasteful number, since it uses less digits than its factorization.

106680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 106680 is about 326.6190441478. The cubic root of 106680 is about 47.4272200294.

The spelling of 106680 in words is "one hundred six thousand, six hundred eighty".