96727220100 has 243 divisors, whose sum is σ = 352924169871. Its totient is φ = 22094150400.

The previous prime is 96727220087. The next prime is 96727220129. The reversal of 96727220100 is 102272769.

The square root of 96727220100 is 311010.

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 4364716356 + 92362503744 = 66066^2 + 303912^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

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 80 ways as a sum of consecutive naturals, for example, 65311360 + ... + 65312840.

Almost surely, 2^96727220100 is an apocalyptic number.

96727220100 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

96727220100 is the 311010-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 96727220100

96727220100 is an abundant number, since it is smaller than the sum of its proper divisors (256196949771).

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

96727220100 is a wasteful number, since it uses less digits than its factorization.

96727220100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2996 (or 1498 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

Multiplying 96727220100 by its sum of digits (36), we get a square (3482179923600 = 1866060²).

96727220100 divided by its sum of digits (36) gives a square (2686867225 = 51835²).

Adding to 96727220100 its reverse (102272769), we get a palindrome (96829492869).

The spelling of 96727220100 in words is "ninety-six billion, seven hundred twenty-seven million, two hundred twenty thousand, one hundred".