100884168 has 192 divisors, whose sum is σ = 352235520. Its totient is φ = 25315200.

The previous prime is 100884139. The next prime is 100884181. The reversal of 100884168 is 861488001.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 171571 + ... + 172157.

It is an arithmetic number, because the mean of its divisors is an integer number (1834560).

Almost surely, 2^100884168 is an apocalyptic number.

100884168 is a gapful number since it is divisible by the number (18) 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 100884168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176117760).

100884168 is an abundant number, since it is smaller than the sum of its proper divisors (251351352).

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

100884168 is a wasteful number, since it uses less digits than its factorization.

100884168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 648 (or 641 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 36.

The square root of 100884168 is about 10044.1111104965. Note that the first 5 decimals coincide. The cubic root of 100884168 is about 465.5228527367.

The spelling of 100884168 in words is "one hundred million, eight hundred eighty-four thousand, one hundred sixty-eight".