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105103253 is a prime number
BaseRepresentation
bin1100100001110…
…11111110010101
321022202210120002
412100323332111
5203401301003
614232421045
72414235323
oct620737625
9238683502
10105103253
11543676a2
122b247785
1318a0c598
14dd5cd13
159361a88
hex643bf95

105103253 has 2 divisors, whose sum is σ = 105103254. Its totient is φ = 105103252.

The previous prime is 105103247. The next prime is 105103301. The reversal of 105103253 is 352301501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 98863249 + 6240004 = 9943^2 + 2498^2 .

It is an emirp because it is prime and its reverse (352301501) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 105103253 - 26 = 105103189 is a prime.

It is a super-2 number, since 2×1051032532 = 22093387582364018, which contains 22 as substring.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105103553) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52551626 + 52551627.

It is an arithmetic number, because the mean of its divisors is an integer number (52551627).

Almost surely, 2105103253 is an apocalyptic number.

It is an amenable number.

105103253 is a deficient number, since it is larger than the sum of its proper divisors (1).

105103253 is an equidigital number, since it uses as much as digits as its factorization.

105103253 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 450, while the sum is 20.

The square root of 105103253 is about 10251.9877584788. The cubic root of 105103253 is about 471.9239873882.

Adding to 105103253 its reverse (352301501), we get a palindrome (457404754).

The spelling of 105103253 in words is "one hundred five million, one hundred three thousand, two hundred fifty-three".