1105061105993 has 8 divisors (see below), whose sum is σ = 1190142462600. Its totient is φ = 1019990700288.

The previous prime is 1105061105987. The next prime is 1105061106013. The reversal of 1105061105993 is 3995011605011.

It can be written as a sum of positive squares in 4 ways, for example, as 43425558544 + 1061635547449 = 208388^2 + 1030357^2 .

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 1105061105993 - 2¹² = 1105061101897 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 1105061105993.

It is not an unprimeable number, because it can be changed into a prime (1105061105963) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2527538 + ... + 2932331.

It is an arithmetic number, because the mean of its divisors is an integer number (148767807825).

Almost surely, 2^{1105061105993} is an apocalyptic number.

1105061105993 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1105061105993 is a deficient number, since it is larger than the sum of its proper divisors (85081356607).

1105061105993 is a wasteful number, since it uses less digits than its factorization.

1105061105993 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5475451.

The product of its (nonzero) digits is 36450, while the sum is 41.

The spelling of 1105061105993 in words is "one trillion, one hundred five billion, sixty-one million, one hundred five thousand, nine hundred ninety-three".