100871880 has 128 divisors (see below), whose sum is σ = 323326080. Its totient is φ = 25088000.

The previous prime is 100871873. The next prime is 100871899. The reversal of 100871880 is 88178001.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 401755 + ... + 402005.

It is an arithmetic number, because the mean of its divisors is an integer number (2525985).

Almost surely, 2^100871880 is an apocalyptic number.

100871880 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 100871880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161663040).

100871880 is an abundant number, since it is smaller than the sum of its proper divisors (222454200).

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

100871880 is a wasteful number, since it uses less digits than its factorization.

100871880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 479 (or 475 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 33.

The square root of 100871880 is about 10043.4993901528. The cubic root of 100871880 is about 465.5039512671.

The spelling of 100871880 in words is "one hundred million, eight hundred seventy-one thousand, eight hundred eighty".