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107457281 is a prime number
BaseRepresentation
bin1100110011110…
…10101100000001
321111012101200022
412121322230001
5210002113111
614355103225
72443241351
oct631725401
9244171608
10107457281
1155725278
122bba1b15
1319354bb9
14103b2b61
1596792db
hex667ab01

107457281 has 2 divisors, whose sum is σ = 107457282. Its totient is φ = 107457280.

The previous prime is 107457277. The next prime is 107457283. The reversal of 107457281 is 182754701.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 95726656 + 11730625 = 9784^2 + 3425^2 .

It is a cyclic number.

It is not a de Polignac number, because 107457281 - 22 = 107457277 is a prime.

It is a super-2 number, since 2×1074572812 = 23094134479825922, which contains 22 as substring.

Together with 107457283, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (107457283) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53728640 + 53728641.

It is an arithmetic number, because the mean of its divisors is an integer number (53728641).

Almost surely, 2107457281 is an apocalyptic number.

It is an amenable number.

107457281 is a deficient number, since it is larger than the sum of its proper divisors (1).

107457281 is an equidigital number, since it uses as much as digits as its factorization.

107457281 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 15680, while the sum is 35.

The square root of 107457281 is about 10366.1603788481. The cubic root of 107457281 is about 475.4212787033.

The spelling of 107457281 in words is "one hundred seven million, four hundred fifty-seven thousand, two hundred eighty-one".