1111009905 has 32 divisors (see below), whose sum is σ = 1976812800. Its totient is φ = 592033536.

The previous prime is 1111009901. The next prime is 1111009919. The reversal of 1111009905 is 5099001111.

It is not a de Polignac number, because 1111009905 - 2² = 1111009901 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (1111009901) 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 31 ways as a sum of consecutive naturals, for example, 198252 + ... + 203778.

It is an arithmetic number, because the mean of its divisors is an integer number (61775400).

Almost surely, 2^1111009905 is an apocalyptic number.

1111009905 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1111009905 is a deficient number, since it is larger than the sum of its proper divisors (865802895).

1111009905 is a wasteful number, since it uses less digits than its factorization.

1111009905 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7030 (or 7024 counting only the distinct ones).

The product of its (nonzero) digits is 405, while the sum is 27.

The square root of 1111009905 is about 33331.8152070961. The cubic root of 1111009905 is about 1035.7127206046.

The spelling of 1111009905 in words is "one billion, one hundred eleven million, nine thousand, nine hundred five".