166006100 has 72 divisors (see below), whose sum is σ = 390188568. Its totient is φ = 60940800.

The previous prime is 166006081. The next prime is 166006103. The reversal of 166006100 is 1600661.

It can be written as a sum of positive squares in 12 ways, for example, as 117592336 + 48413764 = 10844^2 + 6958^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (166006103) 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, 359870 + ... + 360330.

Almost surely, 2^166006100 is an apocalyptic number.

166006100 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 166006100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195094284).

166006100 is an abundant number, since it is smaller than the sum of its proper divisors (224182468).

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

166006100 is a wasteful number, since it uses less digits than its factorization.

166006100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 765 (or 758 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

The square root of 166006100 is about 12884.3354504608. The cubic root of 166006100 is about 549.5931978095.

Adding to 166006100 its reverse (1600661), we get a palindrome (167606761).

The spelling of 166006100 in words is "one hundred sixty-six million, six thousand, one hundred".