99751200 has 144 divisors (see below), whose sum is σ = 329041440. Its totient is φ = 26245120.

The previous prime is 99751199. The next prime is 99751217. The reversal of 99751200 is 215799.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 213367 + ... + 213833.

It is an arithmetic number, because the mean of its divisors is an integer number (2285010).

Almost surely, 2^99751200 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 99751200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164520720).

99751200 is an abundant number, since it is smaller than the sum of its proper divisors (229290240).

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

99751200 is a wasteful number, since it uses less digits than its factorization.

99751200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 579 (or 566 counting only the distinct ones).

The product of its (nonzero) digits is 5670, while the sum is 33.

The square root of 99751200 is about 9987.5522526793. The cubic root of 99751200 is about 463.7736212398.

Adding to 99751200 its reverse (215799), we get a palindrome (99966999).

It can be divided in two parts, 9975 and 1200, that added together give a triangular number (11175 = T₁₄₉).

The spelling of 99751200 in words is "ninety-nine million, seven hundred fifty-one thousand, two hundred".