106218720 has 144 divisors (see below), whose sum is σ = 383881680. Its totient is φ = 26652672.

The previous prime is 106218709. The next prime is 106218727. The reversal of 106218720 is 27812601.

106218720 is a `hidden beast` number, since 10 + 621 + 8 + 7 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×106218720² = 22564832956876800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106218727) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22311 + ... + 26649.

It is an arithmetic number, because the mean of its divisors is an integer number (2665845).

Almost surely, 2^106218720 is an apocalyptic number.

106218720 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 106218720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191940840).

106218720 is an abundant number, since it is smaller than the sum of its proper divisors (277662960).

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

106218720 is a wasteful number, since it uses less digits than its factorization.

106218720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4377 (or 4366 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 106218720 is about 10306.2466494840. The cubic root of 106218720 is about 473.5876347362.

The spelling of 106218720 in words is "one hundred six million, two hundred eighteen thousand, seven hundred twenty".