99800100 has 189 divisors, whose sum is σ = 333713667. Its totient is φ = 25894080.

The previous prime is 99800089. The next prime is 99800101. The reversal of 99800100 is 100899.

The square root of 99800100 is 9990.

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 9474084 + 90326016 = 3078^2 + 9504^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a zygodrome in base 9.

It is not an unprimeable number, because it can be changed into a prime (99800101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 2697282 + ... + 2697318.

Almost surely, 2^99800100 is an apocalyptic number.

99800100 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

99800100 is the 9990-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 99800100

99800100 is an abundant number, since it is smaller than the sum of its proper divisors (233913567).

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

99800100 is a wasteful number, since it uses less digits than its factorization.

99800100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 27.

The cubic root of 99800100 is about 463.8493925096.

Adding to 99800100 its reverse (100899), we get a palindrome (99900999).

The spelling of 99800100 in words is "ninety-nine million, eight hundred thousand, one hundred".