106668560 has 20 divisors (see below), whose sum is σ = 248004588. Its totient is φ = 42667392.

The previous prime is 106668559. The next prime is 106668563. The reversal of 106668560 is 65866601.

It can be written as a sum of positive squares in 2 ways, for example, as 10863616 + 95804944 = 3296^2 + 9788^2 .

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

It is a super-2 number, since 2×106668560² = 22756363384947200, which contains 22 as substring.

It is a Smith number, since the sum of its digits (38) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (106668563) 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 3 ways as a sum of consecutive naturals, for example, 666599 + ... + 666758.

Almost surely, 2^106668560 is an apocalyptic number.

106668560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106668560 is an abundant number, since it is smaller than the sum of its proper divisors (141336028).

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

106668560 is a wasteful number, since it uses less digits than its factorization.

106668560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1333370 (or 1333364 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 38.

The square root of 106668560 is about 10328.0472500856. The cubic root of 106668560 is about 474.2552465757.

The spelling of 106668560 in words is "one hundred six million, six hundred sixty-eight thousand, five hundred sixty".