1106955640 has 128 divisors (see below), whose sum is σ = 2974579200. Its totient is φ = 362810880.

The previous prime is 1106955623. The next prime is 1106955649. The reversal of 1106955640 is 465596011.

1106955640 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a self number, because there is not a number n which added to its sum of digits gives 1106955640.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1106955649) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 610335 + ... + 612145.

It is an arithmetic number, because the mean of its divisors is an integer number (23238900).

Almost surely, 2^1106955640 is an apocalyptic number.

1106955640 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 1106955640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1487289600).

1106955640 is an abundant number, since it is smaller than the sum of its proper divisors (1867623560).

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

1106955640 is a wasteful number, since it uses less digits than its factorization.

1106955640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1925 (or 1921 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 37.

The square root of 1106955640 is about 33270.9428781332. The cubic root of 1106955640 is about 1034.4513541419.

The spelling of 1106955640 in words is "one billion, one hundred six million, nine hundred fifty-five thousand, six hundred forty".