100011105 has 20 divisors (see below), whose sum is σ = 179279892. Its totient is φ = 53339040.

The previous prime is 100011091. The next prime is 100011113. The reversal of 100011105 is 501110001.

It can be written as a sum of positive squares in 2 ways, for example, as 52359696 + 47651409 = 7236^2 + 6903^2 .

It is not a de Polignac number, because 100011105 - 2⁴ = 100011089 is a prime.

It is a super-2 number, since 2×100011105² = 20004442246642050, which contains 22 as substring.

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

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 123066 + ... + 123875.

Almost surely, 2^100011105 is an apocalyptic number.

100011105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

100011105 is a deficient number, since it is larger than the sum of its proper divisors (79268787).

100011105 is an equidigital number, since it uses as much as digits as its factorization.

100011105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246958 (or 246949 counting only the distinct ones).

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

The square root of 100011105 is about 10000.5552345857. Note that the first 3 decimals coincide. The cubic root of 100011105 is about 464.1760643400.

Adding to 100011105 its reverse (501110001), we get a palindrome (601121106).

The spelling of 100011105 in words is "one hundred million, eleven thousand, one hundred five".