99763200 has 198 divisors, whose sum is σ = 358024394. Its totient is φ = 26542080.

The previous prime is 99763193. The next prime is 99763207. The reversal of 99763200 is 236799.

It is an interprime number because it is at equal distance from previous prime (99763193) and next prime (99763207).

It can be written as a sum of positive squares in 3 ways, for example, as 82944 + 99680256 = 288^2 + 9984^2 .

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

It is a nialpdrome in base 10.

It is not an unprimeable number, because it can be changed into a prime (99763207) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 230184 + ... + 230616.

Almost surely, 2^99763200 is an apocalyptic number.

99763200 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 99763200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179012197).

99763200 is an abundant number, since it is smaller than the sum of its proper divisors (258261194).

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

99763200 is a wasteful number, since it uses less digits than its factorization.

99763200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 469 (or 443 counting only the distinct ones).

The product of its (nonzero) digits is 20412, while the sum is 36.

The square root of 99763200 is about 9988.1529824087. The cubic root of 99763200 is about 463.7922177088.

Adding to 99763200 its reverse (236799), we get a palindrome (99999999).

The spelling of 99763200 in words is "ninety-nine million, seven hundred sixty-three thousand, two hundred".