163668100 has 72 divisors (see below), whose sum is σ = 367476480. Its totient is φ = 63237120.

The previous prime is 163668077. The next prime is 163668101. The reversal of 163668100 is 1866361.

It is a super-2 number, since 2×163668100² = 53574493915220000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (163668101) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 455721 + ... + 456079.

It is an arithmetic number, because the mean of its divisors is an integer number (5103840).

Almost surely, 2^163668100 is an apocalyptic number.

163668100 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 163668100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183738240).

163668100 is an abundant number, since it is smaller than the sum of its proper divisors (203808380).

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

163668100 is a wasteful number, since it uses less digits than its factorization.

163668100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 517 (or 510 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 31.

The square root of 163668100 is about 12793.2833940314. The cubic root of 163668100 is about 547.0008656143. Note that the first 3 decimals are identical.

The spelling of 163668100 in words is "one hundred sixty-three million, six hundred sixty-eight thousand, one hundred".