105272745 has 48 divisors (see below), whose sum is σ = 178263360. Its totient is φ = 53032320.

The previous prime is 105272701. The next prime is 105272747. The reversal of 105272745 is 547272501.

It is not a de Polignac number, because 105272745 - 2¹³ = 105264553 is a prime.

It is a super-2 number, since 2×105272745² = 22164701679670050, which contains 22 as substring.

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 (105272747) 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 47 ways as a sum of consecutive naturals, for example, 965751 + ... + 965859.

It is an arithmetic number, because the mean of its divisors is an integer number (3713820).

Almost surely, 2^105272745 is an apocalyptic number.

105272745 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

105272745 is a deficient number, since it is larger than the sum of its proper divisors (72990615).

105272745 is a wasteful number, since it uses less digits than its factorization.

105272745 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 19600, while the sum is 33.

The square root of 105272745 is about 10260.2507279306. The cubic root of 105272745 is about 472.1775297547.

The spelling of 105272745 in words is "one hundred five million, two hundred seventy-two thousand, seven hundred forty-five".