100272168 has 80 divisors (see below), whose sum is σ = 282384960. Its totient is φ = 33242400.

The previous prime is 100272167. The next prime is 100272187. The reversal of 100272168 is 861272001.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (100272163) 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 19 ways as a sum of consecutive naturals, for example, 175323 + ... + 175893.

It is an arithmetic number, because the mean of its divisors is an integer number (3529812).

Almost surely, 2^100272168 is an apocalyptic number.

100272168 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 100272168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141192480).

100272168 is an abundant number, since it is smaller than the sum of its proper divisors (182112792).

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

100272168 is a wasteful number, since it uses less digits than its factorization.

100272168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 860 (or 847 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 100272168 is about 10013.5991531517. The cubic root of 100272168 is about 464.5795992237.

The spelling of 100272168 in words is "one hundred million, two hundred seventy-two thousand, one hundred sixty-eight".