105114105 has 80 divisors (see below), whose sum is σ = 197588160. Its totient is φ = 53419392.

The previous prime is 105114103. The next prime is 105114131. The reversal of 105114105 is 501411501.

It is a happy number.

It is not a de Polignac number, because 105114105 - 2¹ = 105114103 is a prime.

It is a super-2 number, since 2×105114105² = 22097950139902050, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105114101) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1266394 + ... + 1266476.

It is an arithmetic number, because the mean of its divisors is an integer number (2469852).

Almost surely, 2^105114105 is an apocalyptic number.

105114105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

105114105 is a deficient number, since it is larger than the sum of its proper divisors (92474055).

105114105 is an equidigital number, since it uses as much as digits as its factorization.

105114105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 100, while the sum is 18.

The square root of 105114105 is about 10252.5170080327. The cubic root of 105114105 is about 471.9402290132.

Adding to 105114105 its reverse (501411501), we get a palindrome (606525606).

It can be divided in two parts, 10 and 5114105, that added together give a palindrome (5114115).

The spelling of 105114105 in words is "one hundred five million, one hundred fourteen thousand, one hundred five".