105112105 has 24 divisors (see below), whose sum is σ = 155365128. Its totient is φ = 67834368.

The previous prime is 105112097. The next prime is 105112127. The reversal of 105112105 is 501211501.

It can be written as a sum of positive squares in 4 ways, for example, as 34904464 + 70207641 = 5908^2 + 8379^2 .

It is not a de Polignac number, because 105112105 - 2³ = 105112097 is a prime.

It is a super-2 number, since 2×105112105² = 22097109235062050, which contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8454 + ... + 16783.

It is an arithmetic number, because the mean of its divisors is an integer number (6473547).

Almost surely, 2^105112105 is an apocalyptic number.

It is an amenable number.

105112105 is a deficient number, since it is larger than the sum of its proper divisors (50253023).

105112105 is a wasteful number, since it uses less digits than its factorization.

105112105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25273 (or 25266 counting only the distinct ones).

The product of its (nonzero) digits is 50, while the sum is 16.

The square root of 105112105 is about 10252.4194705445. The cubic root of 105112105 is about 471.9372358011.

Adding to 105112105 its reverse (501211501), we get a palindrome (606323606).

It can be divided in two parts, 10 and 5112105, that added together give a palindrome (5112115).

The spelling of 105112105 in words is "one hundred five million, one hundred twelve thousand, one hundred five".