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106757363341 is a prime number
BaseRepresentation
bin110001101101100111…
…1000001011010001101
3101012120002210222010001
41203123033001122031
53222114341111331
6121013232444301
710466355421156
oct1433317013215
9335502728101
10106757363341
1141303826202
12188349a9691
13a0b47806a5
14524a69a92d
152b9c5c6561
hex18db3c168d

106757363341 has 2 divisors, whose sum is σ = 106757363342. Its totient is φ = 106757363340.

The previous prime is 106757363327. The next prime is 106757363353. The reversal of 106757363341 is 143363757601.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 106253181225 + 504182116 = 325965^2 + 22454^2 .

It is a cyclic number.

It is not a de Polignac number, because 106757363341 - 25 = 106757363309 is a prime.

It is a super-2 number, since 2×1067573633412 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106757363291 and 106757363300.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (106757361341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53378681670 + 53378681671.

It is an arithmetic number, because the mean of its divisors is an integer number (53378681671).

Almost surely, 2106757363341 is an apocalyptic number.

It is an amenable number.

106757363341 is a deficient number, since it is larger than the sum of its proper divisors (1).

106757363341 is an equidigital number, since it uses as much as digits as its factorization.

106757363341 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 952560, while the sum is 46.

The spelling of 106757363341 in words is "one hundred six billion, seven hundred fifty-seven million, three hundred sixty-three thousand, three hundred forty-one".