87356100 has 108 divisors (see below), whose sum is σ = 273847056. Its totient is φ = 21490560.

The previous prime is 87356077. The next prime is 87356111. The reversal of 87356100 is 165378.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 49839 + ... + 51561.

Almost surely, 2^87356100 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 87356100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136923528).

87356100 is an abundant number, since it is smaller than the sum of its proper divisors (186490956).

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

87356100 is a wasteful number, since it uses less digits than its factorization.

87356100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1766 (or 1746 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 30.

The square root of 87356100 is about 9346.4485233697. The cubic root of 87356100 is about 443.7084970773.

The spelling of 87356100 in words is "eighty-seven million, three hundred fifty-six thousand, one hundred".