1116105617 has 16 divisors (see below), whose sum is σ = 1258252800. Its totient is φ = 980812800.

The previous prime is 1116105611. The next prime is 1116105647. The reversal of 1116105617 is 7165016111.

It is not a de Polignac number, because 1116105617 - 2¹² = 1116101521 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1116105617.

It is not an unprimeable number, because it can be changed into a prime (1116105611) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 527153 + ... + 529265.

It is an arithmetic number, because the mean of its divisors is an integer number (78640800).

Almost surely, 2^1116105617 is an apocalyptic number.

It is an amenable number.

1116105617 is a deficient number, since it is larger than the sum of its proper divisors (142147183).

1116105617 is a wasteful number, since it uses less digits than its factorization.

1116105617 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3704.

The product of its (nonzero) digits is 1260, while the sum is 29.

The square root of 1116105617 is about 33408.1669206797. The cubic root of 1116105617 is about 1037.2937582400.

The spelling of 1116105617 in words is "one billion, one hundred sixteen million, one hundred five thousand, six hundred seventeen".