107866660 has 108 divisors (see below), whose sum is σ = 262731924. Its totient is φ = 37157120.

The previous prime is 107866637. The next prime is 107866663. The reversal of 107866660 is 66668701.

107866660 = T₂₄ + T₂₅ + ... + T₈₆₄.

It can be written as a sum of positive squares in 6 ways, for example, as 495616 + 107371044 = 704^2 + 10362^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107866663) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2035194 + ... + 2035246.

It is an arithmetic number, because the mean of its divisors is an integer number (2432703).

Almost surely, 2^107866660 is an apocalyptic number.

107866660 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 107866660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131365962).

107866660 is an abundant number, since it is smaller than the sum of its proper divisors (154865264).

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

107866660 is a wasteful number, since it uses less digits than its factorization.

107866660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 40.

The square root of 107866660 is about 10385.8875403116. The cubic root of 107866660 is about 476.0242496414.

The spelling of 107866660 in words is "one hundred seven million, eight hundred sixty-six thousand, six hundred sixty".