1106540766 has 48 divisors (see below), whose sum is σ = 2417294880. Its totient is φ = 365817600.

The previous prime is 1106540723. The next prime is 1106540777. The reversal of 1106540766 is 6670456011.

1106540766 is a `hidden beast` number, since 1 + 106 + 540 + 7 + 6 + 6 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 1106540766.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 1840866 + ... + 1841466.

It is an arithmetic number, because the mean of its divisors is an integer number (50360310).

Almost surely, 2^1106540766 is an apocalyptic number.

1106540766 is an abundant number, since it is smaller than the sum of its proper divisors (1310754114).

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

1106540766 is a wasteful number, since it uses less digits than its factorization.

1106540766 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1281 (or 1278 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 1106540766 is about 33264.7075141207. The cubic root of 1106540766 is about 1034.3221045790.

Adding to 1106540766 its reverse (6670456011), we get a palindrome (7776996777).

The spelling of 1106540766 in words is "one billion, one hundred six million, five hundred forty thousand, seven hundred sixty-six".