87010982100 has 216 divisors, whose sum is σ = 312857475840. Its totient is φ = 19813904640.

The previous prime is 87010982041. The next prime is 87010982101. The reversal of 87010982100 is 128901078.

It is a super-3 number, since 3×87010982100³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87010982101) 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 71 ways as a sum of consecutive naturals, for example, 1669029 + ... + 1720371.

It is an arithmetic number, because the mean of its divisors is an integer number (1448414240).

Almost surely, 2^87010982100 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 87010982100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156428737920).

87010982100 is an abundant number, since it is smaller than the sum of its proper divisors (225846493740).

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

87010982100 is a wasteful number, since it uses less digits than its factorization.

87010982100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51639 (or 51629 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 36.

The spelling of 87010982100 in words is "eighty-seven billion, ten million, nine hundred eighty-two thousand, one hundred".