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107627441 is a prime number
BaseRepresentation
bin1100110101001…
…00001110110001
321111112001002112
412122210032301
5210023034231
614402455105
72444550425
oct632441661
9244461075
10107627441
11558310a9
1230064495
13193b449c
1410418b85
1596ae92b
hex66a43b1

107627441 has 2 divisors, whose sum is σ = 107627442. Its totient is φ = 107627440.

The previous prime is 107627411. The next prime is 107627473. The reversal of 107627441 is 144726701.

It is an a-pointer prime, because the next prime (107627473) can be obtained adding 107627441 to its sum of digits (32).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 54760000 + 52867441 = 7400^2 + 7271^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-107627441 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 107627398 and 107627407.

It is not a weakly prime, because it can be changed into another prime (107627411) 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, 53813720 + 53813721.

It is an arithmetic number, because the mean of its divisors is an integer number (53813721).

Almost surely, 2107627441 is an apocalyptic number.

It is an amenable number.

107627441 is a deficient number, since it is larger than the sum of its proper divisors (1).

107627441 is an equidigital number, since it uses as much as digits as its factorization.

107627441 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 9408, while the sum is 32.

The square root of 107627441 is about 10374.3646070494. The cubic root of 107627441 is about 475.6720916177.

The spelling of 107627441 in words is "one hundred seven million, six hundred twenty-seven thousand, four hundred forty-one".