87650100 has 108 divisors (see below), whose sum is σ = 284988704. Its totient is φ = 23366880.

The previous prime is 87650099. The next prime is 87650119. The reversal of 87650100 is 105678.

87650100 is a `hidden beast` number, since 8 + 7 + 650 + 1 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (108).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 22497 + ... + 26103.

Almost surely, 2^87650100 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 87650100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142494352).

87650100 is an abundant number, since it is smaller than the sum of its proper divisors (197338604).

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

87650100 is a wasteful number, since it uses less digits than its factorization.

87650100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3636 (or 3617 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 87650100 is about 9362.1632115660. The cubic root of 87650100 is about 444.2057118344.

Adding to 87650100 its reverse (105678), we get a palindrome (87755778).

The spelling of 87650100 in words is "eighty-seven million, six hundred fifty thousand, one hundred".