106080 has 96 divisors (see below), whose sum is σ = 381024. Its totient is φ = 24576.

The previous prime is 106033. The next prime is 106087. The reversal of 106080 is 80601.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×106080² = 22505932800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106087) by changing a digit.

It is a nontrivial repunit in base 47.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6232 + ... + 6248.

It is an arithmetic number, because the mean of its divisors is an integer number (3969).

2¹⁰⁶⁰⁸⁰ is an apocalyptic number.

106080 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 106080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190512).

106080 is an abundant number, since it is smaller than the sum of its proper divisors (274944).

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

106080 is a wasteful number, since it uses less digits than its factorization.

106080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 106080 is about 325.6992477732. The cubic root of 106080 is about 47.3381378887.

Adding to 106080 its reverse (80601), we get a palindrome (186681).

The spelling of 106080 in words is "one hundred six thousand, eighty".