1105567152 has 80 divisors (see below), whose sum is σ = 2938383360. Its totient is φ = 357993216.

The previous prime is 1105567147. The next prime is 1105567157. The reversal of 1105567152 is 2517655011.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1105567147) and next prime (1105567157).

It is a super-2 number, since 2×1105567152² = 2444557455162782208, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1105567157) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 405249 + ... + 407967.

It is an arithmetic number, because the mean of its divisors is an integer number (36729792).

Almost surely, 2^1105567152 is an apocalyptic number.

1105567152 is a gapful number since it is divisible by the number (12) 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 1105567152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1469191680).

1105567152 is an abundant number, since it is smaller than the sum of its proper divisors (1832816208).

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

1105567152 is a wasteful number, since it uses less digits than its factorization.

1105567152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2970 (or 2964 counting only the distinct ones).

The product of its (nonzero) digits is 10500, while the sum is 33.

The square root of 1105567152 is about 33250.0699548136. The cubic root of 1105567152 is about 1034.0186586180.

The spelling of 1105567152 in words is "one billion, one hundred five million, five hundred sixty-seven thousand, one hundred fifty-two".