166106304 has 168 divisors, whose sum is σ = 586171040. Its totient is φ = 43794432.

The previous prime is 166106279. The next prime is 166106309. The reversal of 166106304 is 403601661.

166106304 is a `hidden beast` number, since 16 + 6 + 10 + 630 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (168).

It is not an unprimeable number, because it can be changed into a prime (166106309) 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, 50832 + ... + 54000.

Almost surely, 2^166106304 is an apocalyptic number.

166106304 is a gapful number since it is divisible by the number (14) 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 166106304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293085520).

166106304 is an abundant number, since it is smaller than the sum of its proper divisors (420064736).

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

166106304 is a wasteful number, since it uses less digits than its factorization.

166106304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3207 (or 3194 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 166106304 is about 12888.2234617499. The cubic root of 166106304 is about 549.7037567183.

Adding to 166106304 its reverse (403601661), we get a palindrome (569707965).

The spelling of 166106304 in words is "one hundred sixty-six million, one hundred six thousand, three hundred four".