99017208900 has 243 divisors, whose sum is σ = 330229783429. Its totient is φ = 24811100160.

The previous prime is 99017208881. The next prime is 99017208911. The reversal of 99017208900 is 980271099.

The square root of 99017208900 is 314670.

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

It can be written as a sum of positive squares in 13 ways, for example, as 88948290564 + 10068918336 = 298242^2 + 100344^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Duffinian number.

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, 160481392 + ... + 160482008.

Almost surely, 2^99017208900 is an apocalyptic number.

99017208900 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

99017208900 is the 314670-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 99017208900

99017208900 is an abundant number, since it is smaller than the sum of its proper divisors (231212574529).

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

99017208900 is a wasteful number, since it uses less digits than its factorization.

99017208900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1288 (or 644 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 45.

Adding to 99017208900 its reverse (980271099), we get a palindrome (99997479999).

The spelling of 99017208900 in words is "ninety-nine billion, seventeen million, two hundred eight thousand, nine hundred".