166400100 has 216 divisors, whose sum is σ = 566005440. Its totient is φ = 40746240.

The previous prime is 166400093. The next prime is 166400123. The reversal of 166400100 is 1004661.

166400100 is a `hidden beast` number, since 1 + 664 + 0 + 0 + 1 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 632569 + ... + 632831.

Almost surely, 2^166400100 is an apocalyptic number.

166400100 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 166400100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283002720).

166400100 is an abundant number, since it is smaller than the sum of its proper divisors (399605340).

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

166400100 is a wasteful number, since it uses less digits than its factorization.

166400100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 339 (or 329 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 166400100 is about 12899.6162733626. The cubic root of 166400100 is about 550.0276570114.

Adding to 166400100 its reverse (1004661), we get a palindrome (167404761).

The spelling of 166400100 in words is "one hundred sixty-six million, four hundred thousand, one hundred".