99252800 has 168 divisors, whose sum is σ = 267873480. Its totient is φ = 36044800.

The previous prime is 99252773. The next prime is 99252823. The reversal of 99252800 is 825299.

It can be written as a sum of positive squares in 12 ways, for example, as 54523456 + 44729344 = 7384^2 + 6688^2 .

It is a super-2 number, since 2×99252800² = 19702236615680000, which contains 22 as substring.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 1115156 + ... + 1115244.

It is an arithmetic number, because the mean of its divisors is an integer number (1594485).

Almost surely, 2^99252800 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 99252800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133936740).

99252800 is an abundant number, since it is smaller than the sum of its proper divisors (168620680).

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

99252800 is a wasteful number, since it uses less digits than its factorization.

99252800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 35.

The square root of 99252800 is about 9962.5699495662. The cubic root of 99252800 is about 462.9999269173. Note that the first 4 decimals are identical.

The spelling of 99252800 in words is "ninety-nine million, two hundred fifty-two thousand, eight hundred".