106980160 has 112 divisors (see below), whose sum is σ = 293924736. Its totient is φ = 36329472.

The previous prime is 106980143. The next prime is 106980169. The reversal of 106980160 is 61089601.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×106980160² = 22889509267251200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106980169) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 364974 + ... + 365266.

It is an arithmetic number, because the mean of its divisors is an integer number (2624328).

Almost surely, 2^106980160 is an apocalyptic number.

106980160 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 106980160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146962368).

106980160 is an abundant number, since it is smaller than the sum of its proper divisors (186944576).

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

106980160 is a wasteful number, since it uses less digits than its factorization.

106980160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 480 (or 470 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 31.

The square root of 106980160 is about 10343.1213857326. The cubic root of 106980160 is about 474.7165954858.

The spelling of 106980160 in words is "one hundred six million, nine hundred eighty thousand, one hundred sixty".