100063875168 has 288 divisors, whose sum is σ = 307636056000. Its totient is φ = 30738382848.

The previous prime is 100063875157. The next prime is 100063875173. The reversal of 100063875168 is 861578360001.

100063875168 is a `hidden beast` number, since 1 + 0 + 0 + 0 + 638 + 7 + 5 + 1 + 6 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×100063875168² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

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, 53252853 + ... + 53254731.

It is an arithmetic number, because the mean of its divisors is an integer number (1068180750).

Almost surely, 2^100063875168 is an apocalyptic number.

100063875168 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 100063875168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153818028000).

100063875168 is an abundant number, since it is smaller than the sum of its proper divisors (207572180832).

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

100063875168 is a wasteful number, since it uses less digits than its factorization.

100063875168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2134 (or 2123 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 100063875168 in words is "one hundred billion, sixty-three million, eight hundred seventy-five thousand, one hundred sixty-eight".