87366100 has 36 divisors (see below), whose sum is σ = 192001600. Its totient is φ = 34500960.

The previous prime is 87366017. The next prime is 87366107. The reversal of 87366100 is 166378.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87366107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2371 + ... + 13429.

Almost surely, 2^87366100 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 87366100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96000800).

87366100 is an abundant number, since it is smaller than the sum of its proper divisors (104635500).

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

87366100 is a wasteful number, since it uses less digits than its factorization.

87366100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11152 (or 11145 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 31.

The square root of 87366100 is about 9346.9834706177. The cubic root of 87366100 is about 443.7254274564.

The spelling of 87366100 in words is "eighty-seven million, three hundred sixty-six thousand, one hundred".