166002100 has 72 divisors (see below), whose sum is σ = 395287200. Its totient is φ = 60009600.

The previous prime is 166002097. The next prime is 166002101. The reversal of 166002100 is 1200661.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (166002101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 251571 + ... + 252229.

It is an arithmetic number, because the mean of its divisors is an integer number (5490100).

Almost surely, 2^166002100 is an apocalyptic number.

166002100 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 166002100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197643600).

166002100 is an abundant number, since it is smaller than the sum of its proper divisors (229285100).

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

166002100 is a wasteful number, since it uses less digits than its factorization.

166002100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 913 (or 906 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

The square root of 166002100 is about 12884.1802222726. The cubic root of 166002100 is about 549.5887835330.

Adding to 166002100 its reverse (1200661), we get a palindrome (167202761).

The spelling of 166002100 in words is "one hundred sixty-six million, two thousand, one hundred".