1105135311 has 8 divisors (see below), whose sum is σ = 1684015744. Its totient is φ = 631505880.

The previous prime is 1105135267. The next prime is 1105135363. The reversal of 1105135311 is 1135315011.

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

It is not a de Polignac number, because 1105135311 - 2⁹ = 1105134799 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21), and also a Moran number because the ratio is a prime number: 52625491 = 1105135311 / (1 + 1 + 0 + 5 + 1 + 3 + 5 + 3 + 1 + 1).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1105135391) 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, 26312725 + ... + 26312766.

It is an arithmetic number, because the mean of its divisors is an integer number (210501968).

Almost surely, 2^1105135311 is an apocalyptic number.

1105135311 is a deficient number, since it is larger than the sum of its proper divisors (578880433).

1105135311 is an equidigital number, since it uses as much as digits as its factorization.

1105135311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52625501.

The product of its (nonzero) digits is 225, while the sum is 21.

The square root of 1105135311 is about 33243.5754845955. The cubic root of 1105135311 is about 1033.8840098383.

The spelling of 1105135311 in words is "one billion, one hundred five million, one hundred thirty-five thousand, three hundred eleven".