87180170100 has 72 divisors (see below), whose sum is σ = 267079030848. Its totient is φ = 21880512000.

The previous prime is 87180170053. The next prime is 87180170107. The reversal of 87180170100 is 107108178.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87180170107) by changing a digit.

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, 8541976 + ... + 8552175.

It is an arithmetic number, because the mean of its divisors is an integer number (3709430984).

Almost surely, 2^87180170100 is an apocalyptic number.

It is an amenable number.

87180170100 is an abundant number, since it is smaller than the sum of its proper divisors (179898860748).

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

87180170100 is a wasteful number, since it uses less digits than its factorization.

87180170100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17094185 (or 17094178 counting only the distinct ones).

The product of its (nonzero) digits is 3136, while the sum is 33.

Adding to 87180170100 its reverse (107108178), we get a palindrome (87287278278).

The spelling of 87180170100 in words is "eighty-seven billion, one hundred eighty million, one hundred seventy thousand, one hundred".