105272705 has 4 divisors (see below), whose sum is σ = 126327252. Its totient is φ = 84218160.

The previous prime is 105272701. The next prime is 105272747. The reversal of 105272705 is 507272501.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 507272501 = 59 ⋅8597839.

It can be written as a sum of positive squares in 2 ways, for example, as 16008001 + 89264704 = 4001^2 + 9448^2 .

It is not a de Polignac number, because 105272705 - 2² = 105272701 is a prime.

It is a super-2 number, since 2×105272705² = 22164684836034050, which contains 22 as substring.

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

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (105272701) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 10527266 + ... + 10527275.

It is an arithmetic number, because the mean of its divisors is an integer number (31581813).

Almost surely, 2^105272705 is an apocalyptic number.

It is an amenable number.

105272705 is a deficient number, since it is larger than the sum of its proper divisors (21054547).

105272705 is an equidigital number, since it uses as much as digits as its factorization.

105272705 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21054546.

The product of its (nonzero) digits is 4900, while the sum is 29.

The square root of 105272705 is about 10260.2487786603. The cubic root of 105272705 is about 472.1774699510.

The spelling of 105272705 in words is "one hundred five million, two hundred seventy-two thousand, seven hundred five".