1106907264 has 192 divisors, whose sum is σ = 3490695000. Its totient is φ = 335118336.

The previous prime is 1106907233. The next prime is 1106907271. The reversal of 1106907264 is 4627096011.

It can be written as a sum of positive squares in 4 ways, for example, as 1101708864 + 5198400 = 33192^2 + 2280^2 .

It is a tau number, because it is divible by the number of its divisors (192).

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 566962 + ... + 568910.

Almost surely, 2^1106907264 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 1106907264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1745347500).

1106907264 is an abundant number, since it is smaller than the sum of its proper divisors (2383787736).

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

1106907264 is a wasteful number, since it uses less digits than its factorization.

1106907264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2015 (or 2000 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 1106907264 is about 33270.2158694530. The cubic root of 1106907264 is about 1034.4362847793.

The spelling of 1106907264 in words is "one billion, one hundred six million, nine hundred seven thousand, two hundred sixty-four".