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105072745 = 526978121
BaseRepresentation
bin1100100001101…
…00100001101001
321022201020201011
412100310201221
5203344311440
614232023521
72414050351
oct620644151
9238636634
10105072745
1154346788
122b231ba1
13189cb72b
14dd51b61
1593579ea
hex6434869

105072745 has 8 divisors (see below), whose sum is σ = 126557640. Its totient is φ = 83744640.

The previous prime is 105072731. The next prime is 105072749. The reversal of 105072745 is 547270501.

It can be written as a sum of positive squares in 4 ways, for example, as 767376 + 104305369 = 876^2 + 10213^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a de Polignac number, because none of the positive numbers 2k-105072745 is a prime.

It is a super-2 number, since 2×1050727452 = 22080563483670050, 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 (105072749) 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 7 ways as a sum of consecutive naturals, for example, 37716 + ... + 40405.

It is an arithmetic number, because the mean of its divisors is an integer number (15819705).

Almost surely, 2105072745 is an apocalyptic number.

It is an amenable number.

105072745 is a deficient number, since it is larger than the sum of its proper divisors (21484895).

105072745 is an equidigital number, since it uses as much as digits as its factorization.

105072745 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78395.

The product of its (nonzero) digits is 9800, while the sum is 31.

The square root of 105072745 is about 10250.4997439149. The cubic root of 105072745 is about 471.8783216584.

The spelling of 105072745 in words is "one hundred five million, seventy-two thousand, seven hundred forty-five".

Divisors: 1 5 269 1345 78121 390605 21014549 105072745