166005100 has 72 divisors (see below), whose sum is σ = 370476288. Its totient is φ = 64545600.

The previous prime is 166005089. The next prime is 166005107. The reversal of 166005100 is 1500661.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (166005107) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 731187 + ... + 731413.

It is an arithmetic number, because the mean of its divisors is an integer number (5145504).

Almost surely, 2^166005100 is an apocalyptic number.

166005100 is a gapful number since it is divisible by the number (10) 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 166005100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185238144).

166005100 is an abundant number, since it is smaller than the sum of its proper divisors (204471188).

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

166005100 is a wasteful number, since it uses less digits than its factorization.

166005100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 415 (or 408 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 19.

The square root of 166005100 is about 12884.2966435890. The cubic root of 166005100 is about 549.5920942470.

Adding to 166005100 its reverse (1500661), we get a palindrome (167505761).

The spelling of 166005100 in words is "one hundred sixty-six million, five thousand, one hundred".