105270705 has 32 divisors (see below), whose sum is σ = 189100800. Its totient is φ = 55558656.

The previous prime is 105270703. The next prime is 105270721. The reversal of 105270705 is 507072501.

It is not a de Polignac number, because 105270705 - 2¹ = 105270703 is a prime.

It is a super-2 number, since 2×105270705² = 22163842662394050, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

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

It is not an unprimeable number, because it can be changed into a prime (105270703) 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 31 ways as a sum of consecutive naturals, for example, 9076 + ... + 17114.

It is an arithmetic number, because the mean of its divisors is an integer number (5909400).

Almost surely, 2^105270705 is an apocalyptic number.

105270705 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

105270705 is a deficient number, since it is larger than the sum of its proper divisors (83830095).

105270705 is an equidigital number, since it uses as much as digits as its factorization.

105270705 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8150 (or 8144 counting only the distinct ones).

The product of its (nonzero) digits is 2450, while the sum is 27.

The square root of 105270705 is about 10260.1513146737. The cubic root of 105270705 is about 472.1744797459.

The spelling of 105270705 in words is "one hundred five million, two hundred seventy thousand, seven hundred five".