107666730 has 96 divisors (see below), whose sum is σ = 298771200. Its totient is φ = 26822016.

The previous prime is 107666719. The next prime is 107666731. The reversal of 107666730 is 37666701.

It is not an unprimeable number, because it can be changed into a prime (107666731) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 134692 + ... + 135488.

It is an arithmetic number, because the mean of its divisors is an integer number (3112200).

Almost surely, 2^107666730 is an apocalyptic number.

107666730 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 107666730, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149385600).

107666730 is an abundant number, since it is smaller than the sum of its proper divisors (191104470).

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

107666730 is a wasteful number, since it uses less digits than its factorization.

107666730 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 908 (or 905 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 36.

The square root of 107666730 is about 10376.2579960215. The cubic root of 107666730 is about 475.7299653564.

The spelling of 107666730 in words is "one hundred seven million, six hundred sixty-six thousand, seven hundred thirty".