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105144253 is a prime number
BaseRepresentation
bin1100100010001…
…01111110111101
321022211212210121
412101011332331
5203404104003
614233334541
72414466004
oct621057675
9238755717
10105144253
1154395485
122b267451
1318a25146
14dd6dc3b
15936dcbd
hex6445fbd

105144253 has 2 divisors, whose sum is σ = 105144254. Its totient is φ = 105144252.

The previous prime is 105144241. The next prime is 105144257. The reversal of 105144253 is 352441501.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 99560484 + 5583769 = 9978^2 + 2363^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-105144253 is a prime.

It is a super-2 number, since 2×1051442532 = 22110627877856018, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105144257) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52572126 + 52572127.

It is an arithmetic number, because the mean of its divisors is an integer number (52572127).

Almost surely, 2105144253 is an apocalyptic number.

It is an amenable number.

105144253 is a deficient number, since it is larger than the sum of its proper divisors (1).

105144253 is an equidigital number, since it uses as much as digits as its factorization.

105144253 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2400, while the sum is 25.

The square root of 105144253 is about 10253.9871757283. The cubic root of 105144253 is about 471.9853440939.

Adding to 105144253 its reverse (352441501), we get a palindrome (457585754).

The spelling of 105144253 in words is "one hundred five million, one hundred forty-four thousand, two hundred fifty-three".