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1072105 = 51712613
BaseRepresentation
bin100000101101111101001
32000110122121
410011233221
5233301410
634551241
712053446
oct4055751
92013577
101072105
11672541
12438521
132b6ca8
141dc9cd
151629da
hex105be9

1072105 has 8 divisors (see below), whose sum is σ = 1362312. Its totient is φ = 807168.

The previous prime is 1072103. The next prime is 1072129. The reversal of 1072105 is 5012701.

It can be written as a sum of positive squares in 4 ways, for example, as 186624 + 885481 = 432^2 + 941^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 1072105 - 21 = 1072103 is a prime.

It is a super-2 number, since 2×10721052 = 2298818262050, 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 (1072103) 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, 6222 + ... + 6391.

It is an arithmetic number, because the mean of its divisors is an integer number (170289).

21072105 is an apocalyptic number.

It is an amenable number.

1072105 is a deficient number, since it is larger than the sum of its proper divisors (290207).

1072105 is a wasteful number, since it uses less digits than its factorization.

1072105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12635.

The product of its (nonzero) digits is 70, while the sum is 16.

The square root of 1072105 is about 1035.4250335007. The cubic root of 1072105 is about 102.3479403039.

Adding to 1072105 its reverse (5012701), we get a palindrome (6084806).

The spelling of 1072105 in words is "one million, seventy-two thousand, one hundred five".

Divisors: 1 5 17 85 12613 63065 214421 1072105