172166106 has 160 divisors (see below), whose sum is σ = 459812160. Its totient is φ = 42674688.

The previous prime is 172166077. The next prime is 172166117. The reversal of 172166106 is 601661271.

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 4653120 + ... + 4653156.

It is an arithmetic number, because the mean of its divisors is an integer number (2873826).

Almost surely, 2^172166106 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 172166106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229906080).

172166106 is an abundant number, since it is smaller than the sum of its proper divisors (287646054).

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

172166106 is a wasteful number, since it uses less digits than its factorization.

172166106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 30.

The square root of 172166106 is about 13121.2082522914. The cubic root of 172166106 is about 556.3087432638.

The spelling of 172166106 in words is "one hundred seventy-two million, one hundred sixty-six thousand, one hundred six".