1106671140 has 192 divisors, whose sum is σ = 3528645120. Its totient is φ = 287884800.

The previous prime is 1106671099. The next prime is 1106671141. The reversal of 1106671140 is 411766011.

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

It is not an unprimeable number, because it can be changed into a prime (1106671141) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5617522 + ... + 5617718.

It is an arithmetic number, because the mean of its divisors is an integer number (18378360).

Almost surely, 2^1106671140 is an apocalyptic number.

1106671140 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 1106671140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1764322560).

1106671140 is an abundant number, since it is smaller than the sum of its proper divisors (2421973980).

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

1106671140 is a wasteful number, since it uses less digits than its factorization.

1106671140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 419 (or 411 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The square root of 1106671140 is about 33266.6671008684. The cubic root of 1106671140 is about 1034.3627246865.

The spelling of 1106671140 in words is "one billion, one hundred six million, six hundred seventy-one thousand, one hundred forty".