100875168 has 72 divisors (see below), whose sum is σ = 288314208. Its totient is φ = 33455232.

The previous prime is 100875163. The next prime is 100875197. The reversal of 100875168 is 861578001.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is not an unprimeable number, because it can be changed into a prime (100875163) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 64605 + ... + 66147.

It is an arithmetic number, because the mean of its divisors is an integer number (4004364).

Almost surely, 2^100875168 is an apocalyptic number.

100875168 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 100875168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144157104).

100875168 is an abundant number, since it is smaller than the sum of its proper divisors (187439040).

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

100875168 is a wasteful number, since it uses less digits than its factorization.

100875168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1786 (or 1775 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 36.

The square root of 100875168 is about 10043.6630767863. The cubic root of 100875168 is about 465.5090090373.

It can be divided in two parts, 1008 and 75168, that added together give a square (76176 = 276²).

The spelling of 100875168 in words is "one hundred million, eight hundred seventy-five thousand, one hundred sixty-eight".