99805600 has 72 divisors (see below), whose sum is σ = 247132620. Its totient is φ = 39352320.

The previous prime is 99805561. The next prime is 99805609. The reversal of 99805600 is 650899.

It can be written as a sum of positive squares in 6 ways, for example, as 23697424 + 76108176 = 4868^2 + 8724^2 .

It is a super-2 number, since 2×99805600² = 19922315582720000, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 99805600.

It is not an unprimeable number, because it can be changed into a prime (99805609) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 57546 + ... + 59254.

Almost surely, 2^99805600 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 99805600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123566310).

99805600 is an abundant number, since it is smaller than the sum of its proper divisors (147327020).

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

99805600 is a wasteful number, since it uses less digits than its factorization.

99805600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1802 (or 1789 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 37.

The square root of 99805600 is about 9990.2752714828. The cubic root of 99805600 is about 463.8579132919.

The spelling of 99805600 in words is "ninety-nine million, eight hundred five thousand, six hundred".