107666832 has 120 divisors (see below), whose sum is σ = 344519616. Its totient is φ = 28214784.

The previous prime is 107666803. The next prime is 107666837. The reversal of 107666832 is 238666701.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (107666837) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 685698 + ... + 685854.

Almost surely, 2^107666832 is an apocalyptic number.

107666832 is a gapful number since it is divisible by the number (12) 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 107666832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172259808).

107666832 is an abundant number, since it is smaller than the sum of its proper divisors (236852784).

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

107666832 is a wasteful number, since it uses less digits than its factorization.

107666832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 345 (or 182 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 39.

The square root of 107666832 is about 10376.2629110870. The cubic root of 107666832 is about 475.7301155868.

The spelling of 107666832 in words is "one hundred seven million, six hundred sixty-six thousand, eight hundred thirty-two".