1106016 has 48 divisors (see below), whose sum is σ = 2984688. Its totient is φ = 358400.

The previous prime is 1105999. The next prime is 1106029. The reversal of 1106016 is 6106011.

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 1105986 and 1106004.

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, 3796 + ... + 4076.

It is an arithmetic number, because the mean of its divisors is an integer number (62181).

2^1106016 is an apocalyptic number.

1106016 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 1106016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1492344).

1106016 is an abundant number, since it is smaller than the sum of its proper divisors (1878672).

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

1106016 is a wasteful number, since it uses less digits than its factorization.

1106016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 335 (or 327 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

The square root of 1106016 is about 1051.6729529659. The cubic root of 1106016 is about 103.4158573054.

The spelling of 1106016 in words is "one million, one hundred six thousand, sixteen".