87715100 has 72 divisors (see below), whose sum is σ = 216736128. Its totient is φ = 30500800.

The previous prime is 87715093. The next prime is 87715139. The reversal of 87715100 is 151778.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23567 + ... + 27033.

It is an arithmetic number, because the mean of its divisors is an integer number (3010224).

Almost surely, 2^87715100 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 87715100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108368064).

87715100 is an abundant number, since it is smaller than the sum of its proper divisors (129021028).

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

87715100 is a wasteful number, since it uses less digits than its factorization.

87715100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3515 (or 3508 counting only the distinct ones).

The product of its (nonzero) digits is 1960, while the sum is 29.

The square root of 87715100 is about 9365.6339881505. The cubic root of 87715100 is about 444.3154901342.

Adding to 87715100 its reverse (151778), we get a palindrome (87866878).

The spelling of 87715100 in words is "eighty-seven million, seven hundred fifteen thousand, one hundred".