105111105 has 32 divisors (see below), whose sum is σ = 184826880. Its totient is φ = 50585280.

The previous prime is 105111103. The next prime is 105111121. The reversal of 105111105 is 501111501.

It is not a de Polignac number, because 105111105 - 2¹ = 105111103 is a prime.

It is a super-2 number, since 2×105111105² = 22096688788642050, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (105111101) 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, 20644 + ... + 25226.

It is an arithmetic number, because the mean of its divisors is an integer number (5775840).

Almost surely, 2^105111105 is an apocalyptic number.

105111105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

105111105 is a deficient number, since it is larger than the sum of its proper divisors (79715775).

105111105 is a wasteful number, since it uses less digits than its factorization.

105111105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4741.

The product of its (nonzero) digits is 25, while the sum is 15.

The square root of 105111105 is about 10252.3707014524. The cubic root of 105111105 is about 471.9357391808.

Adding to 105111105 its reverse (501111501), we get a palindrome (606222606).

It can be divided in two parts, 10 and 5111105, that added together give a palindrome (5111115).

The spelling of 105111105 in words is "one hundred five million, one hundred eleven thousand, one hundred five".