87100 has 36 divisors (see below), whose sum is σ = 206584. Its totient is φ = 31680.

The previous prime is 87083. The next prime is 87103. The reversal of 87100 is 178.

It is a nialpdrome in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87103) by changing a digit.

87100 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1267 + ... + 1333.

2⁸⁷¹⁰⁰ 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 87100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103292).

87100 is an abundant number, since it is smaller than the sum of its proper divisors (119484).

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

87100 is a wasteful number, since it uses less digits than its factorization.

87100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 56, while the sum is 16.

The square root of 87100 is about 295.1270912675. The cubic root of 87100 is about 44.3274469104.

Adding to 87100 its reverse (178), we get a palindrome (87278).

The spelling of 87100 in words is "eighty-seven thousand, one hundred".