107829666 has 96 divisors (see below), whose sum is σ = 277250688. Its totient is φ = 29652480.

The previous prime is 107829649. The next prime is 107829671. The reversal of 107829666 is 666928701.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 447306 + ... + 447546.

It is an arithmetic number, because the mean of its divisors is an integer number (2888028).

Almost surely, 2^107829666 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 107829666, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138625344).

107829666 is an abundant number, since it is smaller than the sum of its proper divisors (169421022).

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

107829666 is a wasteful number, since it uses less digits than its factorization.

107829666 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 376 (or 373 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 107829666 is about 10384.1064131682. The cubic root of 107829666 is about 475.9698242528.

The spelling of 107829666 in words is "one hundred seven million, eight hundred twenty-nine thousand, six hundred sixty-six".