1102273200 has 720 divisors, whose sum is σ = 4835690496. Its totient is φ = 226713600.

The previous prime is 1102273199. The next prime is 1102273261. The reversal of 1102273200 is 23722011.

It is a tau number, because it is divible by the number of its divisors (720).

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 13280359 + ... + 13280441.

Almost surely, 2^1102273200 is an apocalyptic number.

1102273200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a pronic number, being equal to 33200×33201.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1102273200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2417845248).

1102273200 is an abundant number, since it is smaller than the sum of its proper divisors (3733417296).

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

1102273200 is a wasteful number, since it uses less digits than its factorization.

1102273200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 1102273200 is about 33200.4999962350. The cubic root of 1102273200 is about 1032.9907107819.

Adding to 1102273200 its reverse (23722011), we get a palindrome (1125995211).

The spelling of 1102273200 in words is "one billion, one hundred two million, two hundred seventy-three thousand, two hundred".