96118600900 has 243 divisors, whose sum is σ = 250839720621. Its totient is φ = 31876044480.

The previous prime is 96118600849. The next prime is 96118600901. The reversal of 96118600900 is 900681169.

The square root of 96118600900 is 310030.

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

It can be written as a sum of positive squares in only one way, i.e., 34602696324 + 61515904576 = 186018^2 + 248024^2 .

It is not an unprimeable number, because it can be changed into a prime (96118600901) by changing a digit.

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 80 ways as a sum of consecutive naturals, for example, 933190249 + ... + 933190351.

Almost surely, 2^96118600900 is an apocalyptic number.

96118600900 is the 310030-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 96118600900

96118600900 is an abundant number, since it is smaller than the sum of its proper divisors (154721119721).

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

96118600900 is a wasteful number, since it uses less digits than its factorization.

96118600900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 320 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 40.

The spelling of 96118600900 in words is "ninety-six billion, one hundred eighteen million, six hundred thousand, nine hundred".