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10627105 = 52777673
BaseRepresentation
bin101000100010…
…100000100001
3201222220122111
4220202200201
510210031410
61015435321
7156220546
oct50424041
921886574
1010627105
115aa9335
123685b41
132281138
1415a8bcd
15dedb8a
hexa22821

10627105 has 8 divisors (see below), whose sum is σ = 12800232. Its totient is φ = 8469888.

The previous prime is 10627087. The next prime is 10627109. The reversal of 10627105 is 50172601.

It can be written as a sum of positive squares in 4 ways, for example, as 463761 + 10163344 = 681^2 + 3188^2 .

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 10627105 - 25 = 10627073 is a prime.

It is a super-2 number, since 2×106271052 = 225870721362050, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10627109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2452 + ... + 5221.

It is an arithmetic number, because the mean of its divisors is an integer number (1600029).

It is the magic constant of a 277 × 277 magic square.

Almost surely, 210627105 is an apocalyptic number.

It is an amenable number.

10627105 is a deficient number, since it is larger than the sum of its proper divisors (2173127).

10627105 is an equidigital number, since it uses as much as digits as its factorization.

10627105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7955.

The product of its (nonzero) digits is 420, while the sum is 22.

The square root of 10627105 is about 3259.9240788705. The cubic root of 10627105 is about 219.8560008084.

Adding to 10627105 its reverse (50172601), we get a palindrome (60799706).

The spelling of 10627105 in words is "ten million, six hundred twenty-seven thousand, one hundred five".

Divisors: 1 5 277 1385 7673 38365 2125421 10627105