1106512272 has 160 divisors (see below), whose sum is σ = 3375676800. Its totient is φ = 346042368.

The previous prime is 1106512247. The next prime is 1106512321. The reversal of 1106512272 is 2722156011.

1106512272 is a `hidden beast` number, since 1 + 1 + 0 + 651 + 2 + 2 + 7 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 31 ways as a sum of consecutive naturals, for example, 926908 + ... + 928100.

It is an arithmetic number, because the mean of its divisors is an integer number (21097980).

Almost surely, 2^1106512272 is an apocalyptic number.

1106512272 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 1106512272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1687838400).

1106512272 is an abundant number, since it is smaller than the sum of its proper divisors (2269164528).

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

1106512272 is a wasteful number, since it uses less digits than its factorization.

1106512272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1342 (or 1330 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 1106512272 is about 33264.2792196073. The cubic root of 1106512272 is about 1034.3132263922.

Adding to 1106512272 its reverse (2722156011), we get a palindrome (3828668283).

The spelling of 1106512272 in words is "one billion, one hundred six million, five hundred twelve thousand, two hundred seventy-two".