106720 has 48 divisors (see below), whose sum is σ = 272160. Its totient is φ = 39424.

The previous prime is 106703. The next prime is 106721. The reversal of 106720 is 27601.

It is a super-2 number, since 2×106720² = 22778316800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 106694 and 106703.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106721) by changing a digit.

106720 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3666 + ... + 3694.

It is an arithmetic number, because the mean of its divisors is an integer number (5670).

2¹⁰⁶⁷²⁰ is an apocalyptic number.

106720 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 106720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136080).

106720 is an abundant number, since it is smaller than the sum of its proper divisors (165440).

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

106720 is a wasteful number, since it uses less digits than its factorization.

106720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 16.

The square root of 106720 is about 326.6802718255. The cubic root of 106720 is about 47.4331469502.

106720 divided by its sum of digits (16) gives a triangular number (6670 = T₁₁₅).

The spelling of 106720 in words is "one hundred six thousand, seven hundred twenty".