100171680 has 144 divisors (see below), whose sum is σ = 367143840. Its totient is φ = 22891008.

The previous prime is 100171649. The next prime is 100171681. The reversal of 100171680 is 86171001.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 100171680.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100171681) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21391 + ... + 25649.

It is an arithmetic number, because the mean of its divisors is an integer number (2549610).

Almost surely, 2^100171680 is an apocalyptic number.

100171680 is a gapful number since it is divisible by the number (10) 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 100171680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183571920).

100171680 is an abundant number, since it is smaller than the sum of its proper divisors (266972160).

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

100171680 is a wasteful number, since it uses less digits than its factorization.

100171680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4291 (or 4276 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 24.

The square root of 100171680 is about 10008.5803189064. The cubic root of 100171680 is about 464.4243541561.

The spelling of 100171680 in words is "one hundred million, one hundred seventy-one thousand, six hundred eighty".