871772100 has 72 divisors (see below), whose sum is σ = 2540858208. Its totient is φ = 230764800.

The previous prime is 871772093. The next prime is 871772101. The reversal of 871772100 is 1277178.

It is not an unprimeable number, because it can be changed into a prime (871772101) 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, 30495 + ... + 51705.

Almost surely, 2^871772100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 871772100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1270429104).

871772100 is an abundant number, since it is smaller than the sum of its proper divisors (1669086108).

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

871772100 is a wasteful number, since it uses less digits than its factorization.

871772100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21365 (or 21358 counting only the distinct ones).

The product of its (nonzero) digits is 5488, while the sum is 33.

The square root of 871772100 is about 29525.7870343874. The cubic root of 871772100 is about 955.2879991751.

The spelling of 871772100 in words is "eight hundred seventy-one million, seven hundred seventy-two thousand, one hundred".