1106072200 has 48 divisors (see below), whose sum is σ = 2580900660. Its totient is φ = 440832000.

The previous prime is 1106072189. The next prime is 1106072239. The reversal of 1106072200 is 22706011.

It can be written as a sum of positive squares in 6 ways, for example, as 843437764 + 262634436 = 29042^2 + 16206^2 .

It is a super-2 number, since 2×1106072200² = 2446791423225680000, 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 11 ways as a sum of consecutive naturals, for example, 46360 + ... + 66040.

Almost surely, 2^1106072200 is an apocalyptic number.

1106072200 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 1106072200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1290450330).

1106072200 is an abundant number, since it is smaller than the sum of its proper divisors (1474828460).

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

1106072200 is a wasteful number, since it uses less digits than its factorization.

1106072200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19978 (or 19969 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 19.

The square root of 1106072200 is about 33257.6637784436. The cubic root of 1106072200 is about 1034.1760889929.

Adding to 1106072200 its reverse (22706011), we get a palindrome (1128778211).

The spelling of 1106072200 in words is "one billion, one hundred six million, seventy-two thousand, two hundred".