1106177051617 has 8 divisors (see below), whose sum is σ = 1207776224160. Its totient is φ = 1004750816160.

The previous prime is 1106177051597. The next prime is 1106177051657. The reversal of 1106177051617 is 7161507716011.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1106177051617 - 2²³ = 1106168663009 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1106177051657) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 43220892 + ... + 43246477.

It is an arithmetic number, because the mean of its divisors is an integer number (150972028020).

Almost surely, 2^{1106177051617} is an apocalyptic number.

It is an amenable number.

1106177051617 is a deficient number, since it is larger than the sum of its proper divisors (101599172543).

1106177051617 is a wasteful number, since it uses less digits than its factorization.

1106177051617 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86468543.

The product of its (nonzero) digits is 61740, while the sum is 43.

The spelling of 1106177051617 in words is "one trillion, one hundred six billion, one hundred seventy-seven million, fifty-one thousand, six hundred seventeen".