111100003 has 24 divisors (see below), whose sum is σ = 134388672. Its totient is φ = 91509264.

The previous prime is 111099997. The next prime is 111100027. The reversal of 111100003 is 300001111.

It is a happy number.

It is not a de Polignac number, because 111100003 - 2¹³ = 111091811 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (7).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (111100403) 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 23 ways as a sum of consecutive naturals, for example, 140776 + ... + 141562.

It is an arithmetic number, because the mean of its divisors is an integer number (5599528).

Almost surely, 2^111100003 is an apocalyptic number.

111100003 is a deficient number, since it is larger than the sum of its proper divisors (23288669).

111100003 is an equidigital number, since it uses as much as digits as its factorization.

111100003 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 911 (or 904 counting only the distinct ones).

The product of its (nonzero) digits is 3, while the sum is 7.

The square root of 111100003 is about 10540.3986167507. The cubic root of 111100003 is about 480.7338355668.

Adding to 111100003 its reverse (300001111), we get a palindrome (411101114).

The spelling of 111100003 in words is "one hundred eleven million, one hundred thousand, three".