99106803457600 has 189 divisors, whose sum is σ = 257394836709297. Its totient is φ = 37553395253760.

The previous prime is 99106803457583. The next prime is 99106803457687. The reversal of 99106803457600 is 675430860199.

The square root of 99106803457600 is 9955240.

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., 35678449244736 + 63428354212864 = 5973144^2 + 7964192^2 .

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, 7565975851 + ... + 7565988949.

Almost surely, 2^{99106803457600} is an apocalyptic number.

99106803457600 is the 9955240-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 99106803457600

99106803457600 is an abundant number, since it is smaller than the sum of its proper divisors (158288033251697).

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

99106803457600 is an frugal number, since it uses more digits than its factorization.

99106803457600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26258 (or 13125 counting only the distinct ones).

The product of its (nonzero) digits is 9797760, while the sum is 58.

The spelling of 99106803457600 in words is "ninety-nine trillion, one hundred six billion, eight hundred three million, four hundred fifty-seven thousand, six hundred".