166211100 has 216 divisors, whose sum is σ = 577379712. Its totient is φ = 39657600.

The previous prime is 166211099. The next prime is 166211113. The reversal of 166211100 is 1112661.

166211100 is a `hidden beast` number, since 1 + 662 + 1 + 1 + 1 + 0 + 0 = 666.

It is a super-2 number, since 2×166211100² = 55252259526420000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent 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 71 ways as a sum of consecutive naturals, for example, 1019619 + ... + 1019781.

Almost surely, 2^166211100 is an apocalyptic number.

166211100 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 166211100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288689856).

166211100 is an abundant number, since it is smaller than the sum of its proper divisors (411168612).

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

166211100 is a wasteful number, since it uses less digits than its factorization.

166211100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 297 (or 287 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

The square root of 166211100 is about 12892.2883926788. The cubic root of 166211100 is about 549.8193346005.

Adding to 166211100 its reverse (1112661), we get a palindrome (167323761).

The spelling of 166211100 in words is "one hundred sixty-six million, two hundred eleven thousand, one hundred".