1106153856 has 192 divisors, whose sum is σ = 3391642800. Its totient is φ = 345047040.

The previous prime is 1106153843. The next prime is 1106153857. The reversal of 1106153856 is 6583516011.

1106153856 is a `hidden beast` number, since 1 + 1 + 0 + 615 + 38 + 5 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 1106153856.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1106153857) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2122876 + ... + 2123396.

Almost surely, 2^1106153856 is an apocalyptic number.

1106153856 is a gapful number since it is divisible by the number (16) 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 1106153856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1695821400).

1106153856 is an abundant number, since it is smaller than the sum of its proper divisors (2285488944).

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

1106153856 is a wasteful number, since it uses less digits than its factorization.

1106153856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 657 (or 642 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The square root of 1106153856 is about 33258.8913826062. The cubic root of 1106153856 is about 1034.2015377851.

Adding to 1106153856 its reverse (6583516011), we get a palindrome (7689669867).

The spelling of 1106153856 in words is "one billion, one hundred six million, one hundred fifty-three thousand, eight hundred fifty-six".