100871000 has 64 divisors (see below), whose sum is σ = 248508000. Its totient is φ = 38217600.

The previous prime is 100870999. The next prime is 100871009. The reversal of 100871000 is 178001.

It is a self number, because there is not a number n which added to its sum of digits gives 100871000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100871009) 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 15 ways as a sum of consecutive naturals, for example, 16346 + ... + 21654.

Almost surely, 2^100871000 is an apocalyptic number.

100871000 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 100871000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124254000).

100871000 is an abundant number, since it is smaller than the sum of its proper divisors (147637000).

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

100871000 is a wasteful number, since it uses less digits than its factorization.

100871000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5349 (or 5335 counting only the distinct ones).

The product of its (nonzero) digits is 56, while the sum is 17.

The square root of 100871000 is about 10043.4555806256. The cubic root of 100871000 is about 465.5025975874.

The spelling of 100871000 in words is "one hundred million, eight hundred seventy-one thousand".