99609672100 has 81 divisors (see below), whose sum is σ = 222413594697. Its totient is φ = 38721559680.

The previous prime is 99609672083. The next prime is 99609672121. The reversal of 99609672100 is 127690699.

The square root of 99609672100 is 315610.

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

99609672100 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 13 ways, for example, as 71870103396 + 27739568704 = 268086^2 + 166552^2 .

It is a Duffinian number.

It is an unprimeable number.

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 26 ways as a sum of consecutive naturals, for example, 116775274 + ... + 116776126.

Almost surely, 2^99609672100 is an apocalyptic number.

99609672100 is the 315610-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 99609672100

99609672100 is an abundant number, since it is smaller than the sum of its proper divisors (122803922597).

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

99609672100 is an equidigital number, since it uses as much as digits as its factorization.

99609672100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1794 (or 897 counting only the distinct ones).

The product of its (nonzero) digits is 367416, while the sum is 49.

Multiplying 99609672100 by its sum of digits (49), we get a square (4880873932900 = 2209270²).

The spelling of 99609672100 in words is "ninety-nine billion, six hundred nine million, six hundred seventy-two thousand, one hundred".