106960 has 40 divisors (see below), whose sum is σ = 285696. Its totient is φ = 36480.

The previous prime is 106957. The next prime is 106961. The reversal of 106960 is 69601.

106960 = T₆₉ + T₇₀ + ... + T₉₈.

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

It is a super-2 number, since 2×106960² = 22880883200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106961) 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 7 ways as a sum of consecutive naturals, for example, 465 + ... + 655.

2¹⁰⁶⁹⁶⁰ is an apocalyptic number.

106960 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 106960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142848).

106960 is an abundant number, since it is smaller than the sum of its proper divisors (178736).

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

106960 is a wasteful number, since it uses less digits than its factorization.

106960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 22.

The square root of 106960 is about 327.0473971766. The cubic root of 106960 is about 47.4686774106.

The spelling of 106960 in words is "one hundred six thousand, nine hundred sixty".