87326160100 has 81 divisors (see below), whose sum is σ = 196450284667. Its totient is φ = 33692868160.

The previous prime is 87326160083. The next prime is 87326160127. The reversal of 87326160100 is 106162378.

The square root of 87326160100 is 295510.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 1200345316 + 86125814784 = 34646^2 + 293472^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 85697391 + ... + 85698409.

Almost surely, 2^87326160100 is an apocalyptic number.

87326160100 is the 295510-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87326160100

87326160100 is an abundant number, since it is smaller than the sum of its proper divisors (109124124567).

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

87326160100 is a wasteful number, since it uses less digits than its factorization.

87326160100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2110 (or 1055 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 34.

The spelling of 87326160100 in words is "eighty-seven billion, three hundred twenty-six million, one hundred sixty thousand, one hundred".