1106112 has 56 divisors (see below), whose sum is σ = 3348736. Its totient is φ = 315648.

The previous prime is 1106101. The next prime is 1106129. The reversal of 1106112 is 2116011.

1106112 = T₁₅₃ + T₁₅₄ + ... + T₂₁₆.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (56).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 933 + ... + 1755.

2^1106112 is an apocalyptic number.

1106112 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 1106112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1674368).

1106112 is an abundant number, since it is smaller than the sum of its proper divisors (2242624).

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

1106112 is an equidigital number, since it uses as much as digits as its factorization.

1106112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 845 (or 835 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 12.

The square root of 1106112 is about 1051.7185935411. The cubic root of 1106112 is about 103.4188493160.

The spelling of 1106112 in words is "one million, one hundred six thousand, one hundred twelve".