105000111 has 8 divisors (see below), whose sum is σ = 155555760. Its totient is φ = 70000056.

The previous prime is 105000107. The next prime is 105000121. The reversal of 105000111 is 111000501.

It is not a de Polignac number, because 105000111 - 2² = 105000107 is a prime.

It is a super-2 number, since 2×105000111² = 22050046620024642, which contains 22 as substring.

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

105000111 is a modest number, since divided by 111 gives 105 as remainder.

It is a junction number, because it is equal to n+sod(n) for n = 105000093 and 105000102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105000121) 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 7 ways as a sum of consecutive naturals, for example, 1944420 + ... + 1944473.

It is an arithmetic number, because the mean of its divisors is an integer number (19444470).

Almost surely, 2^105000111 is an apocalyptic number.

105000111 is a deficient number, since it is larger than the sum of its proper divisors (50555649).

105000111 is an equidigital number, since it uses as much as digits as its factorization.

105000111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3888902 (or 3888896 counting only the distinct ones).

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

The square root of 105000111 is about 10246.9561822036. The cubic root of 105000111 is about 471.7695642741.

Adding to 105000111 its reverse (111000501), we get a palindrome (216000612).

It can be divided in two parts, 105000 and 111, that added together give a triangular number (105111 = T₄₅₈).

The spelling of 105000111 in words is "one hundred five million, one hundred eleven", and thus it is an aban number.