87100677600 has 144 divisors (see below), whose sum is σ = 284690997360. Its totient is φ = 23130316800.

The previous prime is 87100677569. The next prime is 87100677637. The reversal of 87100677600 is 677600178.

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 23 ways as a sum of consecutive naturals, for example, 503106 + ... + 653694.

It is an arithmetic number, because the mean of its divisors is an integer number (1977020815).

Almost surely, 2^87100677600 is an apocalyptic number.

87100677600 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 87100677600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142345498680).

87100677600 is an abundant number, since it is smaller than the sum of its proper divisors (197590319760).

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

87100677600 is a wasteful number, since it uses less digits than its factorization.

87100677600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150853 (or 150840 counting only the distinct ones).

The product of its (nonzero) digits is 98784, while the sum is 42.

The spelling of 87100677600 in words is "eighty-seven billion, one hundred million, six hundred seventy-seven thousand, six hundred".