87103036800 has 384 divisors, whose sum is σ = 343298340000. Its totient is φ = 21440471040.

The previous prime is 87103036793. The next prime is 87103036819. The reversal of 87103036800 is 863030178.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1084426 + ... + 1161974.

Almost surely, 2^87103036800 is an apocalyptic number.

87103036800 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87103036800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171649170000).

87103036800 is an abundant number, since it is smaller than the sum of its proper divisors (256195303200).

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

87103036800 is a wasteful number, since it uses less digits than its factorization.

87103036800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77595 (or 77572 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

Adding to 87103036800 its reverse (863030178), we get a palindrome (87966066978).

The spelling of 87103036800 in words is "eighty-seven billion, one hundred three million, thirty-six thousand, eight hundred".