100863168 has 168 divisors, whose sum is σ = 316894464. Its totient is φ = 28224000.

The previous prime is 100863121. The next prime is 100863173. The reversal of 100863168 is 861368001.

It is a tau number, because it is divible by the number of its divisors (168).

It is a zygodrome in base 2.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 667893 + ... + 668043.

Almost surely, 2^100863168 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100863168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158447232).

100863168 is an abundant number, since it is smaller than the sum of its proper divisors (216031296).

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

100863168 is a wasteful number, since it uses less digits than its factorization.

100863168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 251 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 33.

The square root of 100863168 is about 10043.0656674145. The cubic root of 100863168 is about 465.4905494906.

The spelling of 100863168 in words is "one hundred million, eight hundred sixty-three thousand, one hundred sixty-eight".