105204111 has 16 divisors (see below), whose sum is σ = 145195008. Its totient is φ = 67687200.

The previous prime is 105204103. The next prime is 105204119. The reversal of 105204111 is 111402501.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (105204103) and next prime (105204119).

It is not a de Polignac number, because 105204111 - 2³ = 105204103 is a prime.

It is a super-2 number, since 2×105204111² = 22135809942600642, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105204119) 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 15 ways as a sum of consecutive naturals, for example, 37810 + ... + 40496.

It is an arithmetic number, because the mean of its divisors is an integer number (9074688).

Almost surely, 2^105204111 is an apocalyptic number.

105204111 is a deficient number, since it is larger than the sum of its proper divisors (39990897).

105204111 is a wasteful number, since it uses less digits than its factorization.

105204111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3142.

The product of its (nonzero) digits is 40, while the sum is 15.

The square root of 105204111 is about 10256.9055274971. The cubic root of 105204111 is about 472.0748932557.

Adding to 105204111 its reverse (111402501), we get a palindrome (216606612).

The spelling of 105204111 in words is "one hundred five million, two hundred four thousand, one hundred eleven".