1106084628 has 72 divisors (see below), whose sum is σ = 3182751936. Its totient is φ = 320601600.

The previous prime is 1106084611. The next prime is 1106084641. The reversal of 1106084628 is 8264806011.

1106084628 is a `hidden beast` number, since 1 + 1 + 0 + 608 + 46 + 2 + 8 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 1106084592 and 1106084601.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 51613 + ... + 69828.

It is an arithmetic number, because the mean of its divisors is an integer number (44204888).

Almost surely, 2^1106084628 is an apocalyptic number.

1106084628 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1106084628 is an abundant number, since it is smaller than the sum of its proper divisors (2076667308).

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

1106084628 is a wasteful number, since it uses less digits than its factorization.

1106084628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121485 (or 121480 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 1106084628 is about 33257.8506220712. The cubic root of 1106084628 is about 1034.1799623664.

The spelling of 1106084628 in words is "one billion, one hundred six million, eighty-four thousand, six hundred twenty-eight".