1106224 has 60 divisors (see below), whose sum is σ = 2671704. Its totient is φ = 440832.

The previous prime is 1106219. The next prime is 1106233. The reversal of 1106224 is 4226011.

1106224 = T₁₂₀ + T₁₂₁ + ... + T₂₀₂.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 1106198 and 1106207.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13287 + ... + 13369.

2^1106224 is an apocalyptic number.

1106224 is a gapful number since it is divisible by the number (14) 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 1106224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1335852).

1106224 is an abundant number, since it is smaller than the sum of its proper divisors (1565480).

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

1106224 is a wasteful number, since it uses less digits than its factorization.

1106224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 1106224 is about 1051.7718383756. The cubic root of 1106224 is about 103.4223397764.

The spelling of 1106224 in words is "one million, one hundred six thousand, two hundred twenty-four".