1106457768 has 192 divisors, whose sum is σ = 3396032640. Its totient is φ = 323108352.

The previous prime is 1106457763. The next prime is 1106457769. The reversal of 1106457768 is 8677546011.

1106457768 is a `hidden beast` number, since 1 + 10 + 6 + 4 + 577 + 68 = 666.

It is not an unprimeable number, because it can be changed into a prime (1106457763) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1488805 + ... + 1489547.

It is an arithmetic number, because the mean of its divisors is an integer number (17687670).

Almost surely, 2^1106457768 is an apocalyptic number.

1106457768 is a gapful number since it is divisible by the number (18) 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 1106457768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1698016320).

1106457768 is an abundant number, since it is smaller than the sum of its proper divisors (2289574872).

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

1106457768 is a wasteful number, since it uses less digits than its factorization.

1106457768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 848 (or 841 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 45.

The square root of 1106457768 is about 33263.4599523261. The cubic root of 1106457768 is about 1034.2962435609.

The spelling of 1106457768 in words is "one billion, one hundred six million, four hundred fifty-seven thousand, seven hundred sixty-eight".