106880 has 32 divisors (see below), whose sum is σ = 257040. Its totient is φ = 42496.

The previous prime is 106877. The next prime is 106903. The reversal of 106880 is 88601.

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×106880² = 22846668800, 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 (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 557 + ... + 723.

2¹⁰⁶⁸⁸⁰ is an apocalyptic number.

106880 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 106880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128520).

106880 is an abundant number, since it is smaller than the sum of its proper divisors (150160).

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

106880 is an equidigital number, since it uses as much as digits as its factorization.

106880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 23.

The square root of 106880 is about 326.9250678672. The cubic root of 106880 is about 47.4568398347.

The spelling of 106880 in words is "one hundred six thousand, eight hundred eighty".