106663120 has 20 divisors (see below), whose sum is σ = 247991940. Its totient is φ = 42665216.

The previous prime is 106663111. The next prime is 106663127. The reversal of 106663120 is 21366601.

It can be written as a sum of positive squares in 2 ways, for example, as 57214096 + 49449024 = 7564^2 + 7032^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a super-2 number, since 2×106663120² = 22754042336268800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106663127) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 666565 + ... + 666724.

It is an arithmetic number, because the mean of its divisors is an integer number (12399597).

Almost surely, 2^106663120 is an apocalyptic number.

106663120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106663120 is an abundant number, since it is smaller than the sum of its proper divisors (141328820).

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

106663120 is a wasteful number, since it uses less digits than its factorization.

106663120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1333302 (or 1333296 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 25.

The square root of 106663120 is about 10327.7838861975. The cubic root of 106663120 is about 474.2471842425.

The spelling of 106663120 in words is "one hundred six million, six hundred sixty-three thousand, one hundred twenty".