1106512164 has 144 divisors (see below), whose sum is σ = 3024822528. Its totient is φ = 353403648.

The previous prime is 1106512153. The next prime is 1106512207. The reversal of 1106512164 is 4612156011.

1106512164 is a `hidden beast` number, since 1 + 1 + 0 + 651 + 2 + 1 + 6 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2421024 + ... + 2421480.

It is an arithmetic number, because the mean of its divisors is an integer number (21005712).

Almost surely, 2^1106512164 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1106512164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1512411264).

1106512164 is an abundant number, since it is smaller than the sum of its proper divisors (1918310364).

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

1106512164 is a wasteful number, since it uses less digits than its factorization.

1106512164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 576 (or 562 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 1106512164 is about 33264.2775962443. The cubic root of 1106512164 is about 1034.3131927411.

Adding to 1106512164 its reverse (4612156011), we get a palindrome (5718668175).

The spelling of 1106512164 in words is "one billion, one hundred six million, five hundred twelve thousand, one hundred sixty-four".