107666112 has 28 divisors (see below), whose sum is σ = 284867096. Its totient is φ = 35888640.

The previous prime is 107666093. The next prime is 107666113. The reversal of 107666112 is 211666701.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 107666112.

It is not an unprimeable number, because it can be changed into a prime (107666113) 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, 280189 + ... + 280572.

Almost surely, 2^107666112 is an apocalyptic number.

107666112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

107666112 is an abundant number, since it is smaller than the sum of its proper divisors (177200984).

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

107666112 is an equidigital number, since it uses as much as digits as its factorization.

107666112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 560776 (or 560766 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 30.

The square root of 107666112 is about 10376.2282164571. The cubic root of 107666112 is about 475.7290551350.

The spelling of 107666112 in words is "one hundred seven million, six hundred sixty-six thousand, one hundred twelve".