1099987200 has 486 divisors, whose sum is σ = 4296174246. Its totient is φ = 268369920.

The previous prime is 1099987199. The next prime is 1099987241. The reversal of 1099987200 is 27899901.

It can be written as a sum of positive squares in 9 ways, for example, as 991494144 + 108493056 = 31488^2 + 10416^2 .

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a zygodrome in base 15.

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 9734344 + ... + 9734456.

Almost surely, 2^1099987200 is an apocalyptic number.

1099987200 is a gapful number since it is divisible by the number (10) 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 1099987200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2148087123).

1099987200 is an abundant number, since it is smaller than the sum of its proper divisors (3196187046).

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

1099987200 is a wasteful number, since it uses less digits than its factorization.

1099987200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 45.

The square root of 1099987200 is about 33166.0549357321. The cubic root of 1099987200 is about 1032.2761114452.

The spelling of 1099987200 in words is "one billion, ninety-nine million, nine hundred eighty-seven thousand, two hundred".