1092013200 has 90 divisors (see below), whose sum is σ = 3789601634. Its totient is φ = 291202560.

The previous prime is 1092013193. The next prime is 1092013253. The reversal of 1092013200 is 23102901.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 311593104 + 780420096 = 17652^2 + 27936^2 .

It is a tau number, because it is divible by the number of its divisors (90).

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

It is a zygodrome in base 3.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 148069 + ... + 155268.

Almost surely, 2^1092013200 is an apocalyptic number.

1092013200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1092013200 is an abundant number, since it is smaller than the sum of its proper divisors (2697588434).

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

1092013200 is a wasteful number, since it uses less digits than its factorization.

1092013200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 303361 (or 303347 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 1092013200 is about 33045.6230081988. The cubic root of 1092013200 is about 1029.7756761614.

The spelling of 1092013200 in words is "one billion, ninety-two million, thirteen thousand, two hundred".