1106114064 has 80 divisors (see below), whose sum is σ = 3170154240. Its totient is φ = 329495680.

The previous prime is 1106114063. The next prime is 1106114083. The reversal of 1106114064 is 4604116011.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (1106114063) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13399 + ... + 48905.

It is an arithmetic number, because the mean of its divisors is an integer number (39626928).

Almost surely, 2^1106114064 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 1106114064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1585077120).

1106114064 is an abundant number, since it is smaller than the sum of its proper divisors (2064040176).

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

1106114064 is a wasteful number, since it uses less digits than its factorization.

1106114064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35588 (or 35582 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 1106114064 is about 33258.2931612553. The cubic root of 1106114064 is about 1034.1891364237.

The spelling of 1106114064 in words is "one billion, one hundred six million, one hundred fourteen thousand, sixty-four".