107189166 has 48 divisors (see below), whose sum is σ = 250245504. Its totient is φ = 30519216.

The previous prime is 107189149. The next prime is 107189167. The reversal of 107189166 is 661981701.

It is a super-3 number, since 3×107189166³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107189167) 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, 129831 + ... + 130653.

It is an arithmetic number, because the mean of its divisors is an integer number (5213448).

Almost surely, 2^107189166 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 107189166, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125122752).

107189166 is an abundant number, since it is smaller than the sum of its proper divisors (143056338).

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

107189166 is a wasteful number, since it uses less digits than its factorization.

107189166 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1285 (or 1278 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 39.

The square root of 107189166 is about 10353.2200787967. The cubic root of 107189166 is about 475.0255439633.

The spelling of 107189166 in words is "one hundred seven million, one hundred eighty-nine thousand, one hundred sixty-six".