87826699128100 has 81 divisors (see below), whose sum is σ = 202457889500083. Its totient is φ = 33063569301760.

The previous prime is 87826699128043. The next prime is 87826699128187. The reversal of 87826699128100 is 182199662878.

The square root of 87826699128100 is 9371590.

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 2054354623204 + 85772344504896 = 1433302^2 + 9261336^2 .

It is a super-2 number, since 2×87826699128100² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1593142737 + ... + 1593197863.

Almost surely, 2^{87826699128100} is an apocalyptic number.

87826699128100 is the 9371590-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87826699128100

87826699128100 is an abundant number, since it is smaller than the sum of its proper divisors (114631190371983).

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

87826699128100 is an frugal number, since it uses more digits than its factorization.

87826699128100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110302 (or 55151 counting only the distinct ones).

The product of its (nonzero) digits is 41803776, while the sum is 67.

The spelling of 87826699128100 in words is "eighty-seven trillion, eight hundred twenty-six billion, six hundred ninety-nine million, one hundred twenty-eight thousand, one hundred".