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105281441 is a prime number
BaseRepresentation
bin1100100011001…
…11011110100001
321100002211222122
412101213132201
5203423001231
614240314025
72415606656
oct621473641
9240084878
10105281441
1154479561
122b312915
1318a72715
14dda7c2d
15939977b
hex64677a1

105281441 has 2 divisors, whose sum is σ = 105281442. Its totient is φ = 105281440.

The previous prime is 105281431. The next prime is 105281443. The reversal of 105281441 is 144182501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 79566400 + 25715041 = 8920^2 + 5071^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-105281441 is a prime.

It is a super-2 number, since 2×1052814412 = 22168363638072962, which contains 22 as substring.

Together with 105281443, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 105281441.

It is not a weakly prime, because it can be changed into another prime (105281443) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52640720 + 52640721.

It is an arithmetic number, because the mean of its divisors is an integer number (52640721).

Almost surely, 2105281441 is an apocalyptic number.

It is an amenable number.

105281441 is a deficient number, since it is larger than the sum of its proper divisors (1).

105281441 is an equidigital number, since it uses as much as digits as its factorization.

105281441 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1280, while the sum is 26.

The square root of 105281441 is about 10260.6744905001. The cubic root of 105281441 is about 472.1905307226.

The spelling of 105281441 in words is "one hundred five million, two hundred eighty-one thousand, four hundred forty-one".