100171872 has 72 divisors (see below), whose sum is σ = 287567280. Its totient is φ = 33073920.

The previous prime is 100171867. The next prime is 100171873. The reversal of 100171872 is 278171001.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100171873) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 29797 + ... + 32987.

It is an arithmetic number, because the mean of its divisors is an integer number (3993990).

Almost surely, 2^100171872 is an apocalyptic number.

100171872 is a gapful number since it is divisible by the number (12) 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 100171872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143783640).

100171872 is an abundant number, since it is smaller than the sum of its proper divisors (187395408).

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

100171872 is a wasteful number, since it uses less digits than its factorization.

100171872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3316 (or 3305 counting only the distinct ones).

The product of its (nonzero) digits is 784, while the sum is 27.

The square root of 100171872 is about 10008.5899106717. The cubic root of 100171872 is about 464.4246508781.

The spelling of 100171872 in words is "one hundred million, one hundred seventy-one thousand, eight hundred seventy-two".