106380720 has 120 divisors (see below), whose sum is σ = 362467872. Its totient is φ = 27955200.

The previous prime is 106380709. The next prime is 106380733. The reversal of 106380720 is 27083601.

106380720 is a `hidden beast` number, since 1 + 0 + 638 + 0 + 7 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×106380720² = 22633715175436800, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 50080 + ... + 52160.

Almost surely, 2^106380720 is an apocalyptic number.

106380720 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 106380720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181233936).

106380720 is an abundant number, since it is smaller than the sum of its proper divisors (256087152).

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

106380720 is a wasteful number, since it uses less digits than its factorization.

106380720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2171 (or 2162 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 106380720 is about 10314.1029663272. The cubic root of 106380720 is about 473.8282772706.

The spelling of 106380720 in words is "one hundred six million, three hundred eighty thousand, seven hundred twenty".