1105535093 has 16 divisors (see below), whose sum is σ = 1207124016. Its totient is φ = 1006387200.

The previous prime is 1105535033. The next prime is 1105535201. The reversal of 1105535093 is 3905355011.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 320302609 + 785232484 = 17897^2 + 28022^2 .

It is not a de Polignac number, because 1105535093 - 2¹⁰ = 1105534069 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1105535023) 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, 393293 + ... + 396093.

It is an arithmetic number, because the mean of its divisors is an integer number (75445251).

Almost surely, 2^1105535093 is an apocalyptic number.

1105535093 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1105535093 is a deficient number, since it is larger than the sum of its proper divisors (101588923).

1105535093 is a wasteful number, since it uses less digits than its factorization.

1105535093 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3224.

The product of its (nonzero) digits is 10125, while the sum is 32.

The square root of 1105535093 is about 33249.5878621074. The cubic root of 1105535093 is about 1034.0086637707.

The spelling of 1105535093 in words is "one billion, one hundred five million, five hundred thirty-five thousand, ninety-three".