105096105 has 24 divisors (see below), whose sum is σ = 184052232. Its totient is φ = 55471104.

The previous prime is 105096097. The next prime is 105096127. The reversal of 105096105 is 501690501.

It can be written as a sum of positive squares in 4 ways, for example, as 30239001 + 74857104 = 5499^2 + 8652^2 .

It is not a de Polignac number, because 105096105 - 2³ = 105096097 is a prime.

It is a super-2 number, since 2×105096105² = 22090382572342050, which contains 22 as substring.

It is an alternating number because its digits alternate between odd and even.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 7674 + ... + 16403.

It is an arithmetic number, because the mean of its divisors is an integer number (7668843).

Almost surely, 2^105096105 is an apocalyptic number.

105096105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

105096105 is a deficient number, since it is larger than the sum of its proper divisors (78956127).

105096105 is a wasteful number, since it uses less digits than its factorization.

105096105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24185 (or 24182 counting only the distinct ones).

The product of its (nonzero) digits is 1350, while the sum is 27.

The square root of 105096105 is about 10251.6391372307. The cubic root of 105096105 is about 471.9132887370.

The spelling of 105096105 in words is "one hundred five million, ninety-six thousand, one hundred five".