87011100 has 324 divisors, whose sum is σ = 324166752. Its totient is φ = 19430400.

The previous prime is 87011077. The next prime is 87011123. The reversal of 87011100 is 111078.

It is an interprime number because it is at equal distance from previous prime (87011077) and next prime (87011123).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 1851277 + ... + 1851323.

Almost surely, 2^87011100 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 87011100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162083376).

87011100 is an abundant number, since it is smaller than the sum of its proper divisors (237155652).

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

87011100 is a wasteful number, since it uses less digits than its factorization.

87011100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 56, while the sum is 18.

The square root of 87011100 is about 9327.9740565677. The cubic root of 87011100 is about 443.1236060533.

Adding to 87011100 its reverse (111078), we get a palindrome (87122178).

It can be divided in two parts, 8701 and 1100, that added together give a square (9801 = 99²).

The spelling of 87011100 in words is "eighty-seven million, eleven thousand, one hundred".