1106417860775 has 48 divisors (see below), whose sum is σ = 1497141676800. Its totient is φ = 807838133760.

The previous prime is 1106417860747. The next prime is 1106417860777. The reversal of 1106417860775 is 5770687146011.

It is not a de Polignac number, because 1106417860775 - 2²⁶ = 1106350751911 is a prime.

It is a super-3 number, since 3×1106417860775³ (a number of 37 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1106417860777) 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 47 ways as a sum of consecutive naturals, for example, 2322446 + ... + 2758004.

It is an arithmetic number, because the mean of its divisors is an integer number (31190451600).

Almost surely, 2^{1106417860775} is an apocalyptic number.

1106417860775 is a deficient number, since it is larger than the sum of its proper divisors (390723816025).

1106417860775 is a wasteful number, since it uses less digits than its factorization.

1106417860775 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 435768 (or 435763 counting only the distinct ones).

The product of its (nonzero) digits is 1975680, while the sum is 53.

The spelling of 1106417860775 in words is "one trillion, one hundred six billion, four hundred seventeen million, eight hundred sixty thousand, seven hundred seventy-five".