1106200800 has 360 divisors, whose sum is σ = 4138313256. Its totient is φ = 287400960.

The previous prime is 1106200793. The next prime is 1106200813. The reversal of 1106200800 is 80026011.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 2786202 + ... + 2786598.

Almost surely, 2^1106200800 is an apocalyptic number.

1106200800 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 1106200800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2069156628).

1106200800 is an abundant number, since it is smaller than the sum of its proper divisors (3032112456).

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

1106200800 is a wasteful number, since it uses less digits than its factorization.

1106200800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 472 (or 450 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 1106200800 is about 33259.5971112099. The cubic root of 1106200800 is about 1034.2161677180.

Adding to 1106200800 its reverse (80026011), we get a palindrome (1186226811).

The spelling of 1106200800 in words is "one billion, one hundred six million, two hundred thousand, eight hundred".