1106417860821 has 48 divisors (see below), whose sum is σ = 1968252074880. Its totient is φ = 583223172480.

The previous prime is 1106417860819. The next prime is 1106417860907. The reversal of 1106417860821 is 1280687146011.

1106417860821 is a `hidden beast` number, since 1 + 1 + 0 + 6 + 4 + 17 + 8 + 608 + 21 = 666.

It is not a de Polignac number, because 1106417860821 - 2¹ = 1106417860819 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1106417860811) 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, 812695 + ... + 1695083.

It is an arithmetic number, because the mean of its divisors is an integer number (41005251560).

Almost surely, 2^{1106417860821} is an apocalyptic number.

It is an amenable number.

1106417860821 is a deficient number, since it is larger than the sum of its proper divisors (861834214059).

1106417860821 is a wasteful number, since it uses less digits than its factorization.

1106417860821 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 883946 (or 883943 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 45.

The spelling of 1106417860821 in words is "one trillion, one hundred six billion, four hundred seventeen million, eight hundred sixty thousand, eight hundred twenty-one".