106580 has 18 divisors (see below), whose sum is σ = 226926. Its totient is φ = 42048.

The previous prime is 106543. The next prime is 106591. The reversal of 106580 is 85601.

It can be written as a sum of positive squares in 3 ways, for example, as 15376 + 91204 = 124^2 + 302^2 .

It is a super-2 number, since 2×106580² = 22718592800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

106580 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 5 ways as a sum of consecutive naturals, for example, 1424 + ... + 1496.

It is an arithmetic number, because the mean of its divisors is an integer number (12607).

2¹⁰⁶⁵⁸⁰ is an apocalyptic number.

106580 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106580 is an abundant number, since it is smaller than the sum of its proper divisors (120346).

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

106580 is an equidigital number, since it uses as much as digits as its factorization.

106580 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 20.

The square root of 106580 is about 326.4659247150. The cubic root of 106580 is about 47.4123962427.

Multiplying 106580 by its sum of digits (20), we get a square (2131600 = 1460²).

106580 divided by its sum of digits (20) gives a square (5329 = 73²).

It can be divided in two parts, 106 and 580, that added together give a palindrome (686).

The spelling of 106580 in words is "one hundred six thousand, five hundred eighty".