1101056112 has 160 divisors (see below), whose sum is σ = 3462278400. Its totient is φ = 332944128.

The previous prime is 1101056111. The next prime is 1101056149. The reversal of 1101056112 is 2116501011.

It is a happy number.

1101056112 is a `hidden beast` number, since 1 + 101 + 0 + 561 + 1 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1101056111) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 329683 + ... + 333005.

It is an arithmetic number, because the mean of its divisors is an integer number (21639240).

Almost surely, 2^1101056112 is an apocalyptic number.

1101056112 is a gapful number since it is divisible by the number (12) 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 1101056112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1731139200).

1101056112 is an abundant number, since it is smaller than the sum of its proper divisors (2361222288).

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

1101056112 is a wasteful number, since it uses less digits than its factorization.

1101056112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3412 (or 3400 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 18.

The square root of 1101056112 is about 33182.1655712824. The cubic root of 1101056112 is about 1032.6103744567.

Adding to 1101056112 its reverse (2116501011), we get a palindrome (3217557123).

The spelling of 1101056112 in words is "one billion, one hundred one million, fifty-six thousand, one hundred twelve".