1100011005 has 12 divisors (see below), whose sum is σ = 1906685820. Its totient is φ = 586672512.

The previous prime is 1100010973. The next prime is 1100011013. The reversal of 1100011005 is 5001100011.

It can be written as a sum of positive squares in 2 ways, for example, as 243921924 + 856089081 = 15618^2 + 29259^2 .

It is not a de Polignac number, because 1100011005 - 2⁵ = 1100010973 is a prime.

It is a super-2 number, since 2×1100011005² = 2420048422242220050, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12222300 + ... + 12222389.

It is an arithmetic number, because the mean of its divisors is an integer number (158890485).

Almost surely, 2^1100011005 is an apocalyptic number.

1100011005 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1100011005 is a deficient number, since it is larger than the sum of its proper divisors (806674815).

1100011005 is a wasteful number, since it uses less digits than its factorization.

1100011005 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24444700 (or 24444697 counting only the distinct ones).

The product of its (nonzero) digits is 5, while the sum is 9.

The square root of 1100011005 is about 33166.4138097564. The cubic root of 1100011005 is about 1032.2835579427.

Adding to 1100011005 its reverse (5001100011), we get a palindrome (6101111016).

The spelling of 1100011005 in words is "one billion, one hundred million, eleven thousand, five".