87105600 has 252 divisors, whose sum is σ = 324282816. Its totient is φ = 22133760.

The previous prime is 87105593. The next prime is 87105611. The reversal of 87105600 is 650178.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 331069 + ... + 331331.

Almost surely, 2^87105600 is an apocalyptic number.

87105600 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 87105600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162141408).

87105600 is an abundant number, since it is smaller than the sum of its proper divisors (237177216).

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

87105600 is a wasteful number, since it uses less digits than its factorization.

87105600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 314 (or 296 counting only the distinct ones).

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

The square root of 87105600 is about 9333.0380905684. The cubic root of 87105600 is about 443.2839688504.

Adding to 87105600 its reverse (650178), we get a palindrome (87755778).

The spelling of 87105600 in words is "eighty-seven million, one hundred five thousand, six hundred".