99765600 has 144 divisors (see below), whose sum is σ = 354352320. Its totient is φ = 24179200.

The previous prime is 99765593. The next prime is 99765643. The reversal of 99765600 is 656799.

It is a congruent number.

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, 24511 + ... + 28289.

It is an arithmetic number, because the mean of its divisors is an integer number (2460780).

Almost surely, 2^99765600 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 99765600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177176160).

99765600 is an abundant number, since it is smaller than the sum of its proper divisors (254586720).

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

99765600 is a wasteful number, since it uses less digits than its factorization.

99765600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3813 (or 3800 counting only the distinct ones).

The product of its (nonzero) digits is 102060, while the sum is 42.

The square root of 99765600 is about 9988.2731240190. The cubic root of 99765600 is about 463.7959368236.

It can be divided in two parts, 9976 and 5600, that added together give a triangular number (15576 = T₁₇₆).

The spelling of 99765600 in words is "ninety-nine million, seven hundred sixty-five thousand, six hundred".