106720160 has 48 divisors (see below), whose sum is σ = 255608136. Its totient is φ = 42098688.

The previous prime is 106720157. The next prime is 106720193. The reversal of 106720160 is 61027601.

It can be written as a sum of positive squares in 4 ways, for example, as 54937744 + 51782416 = 7412^2 + 7196^2 .

It is a super-2 number, since 2×106720160² = 22778385100851200, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7112 + ... + 16248.

Almost surely, 2^106720160 is an apocalyptic number.

106720160 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 106720160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127804068).

106720160 is an abundant number, since it is smaller than the sum of its proper divisors (148887976).

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

106720160 is an equidigital number, since it uses as much as digits as its factorization.

106720160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9225 (or 9217 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 23.

The square root of 106720160 is about 10330.5450001440. The cubic root of 106720160 is about 474.3317065492.

Adding to 106720160 its reverse (61027601), we get a palindrome (167747761).

The spelling of 106720160 in words is "one hundred six million, seven hundred twenty thousand, one hundred sixty".