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106754371349 is a prime number
BaseRepresentation
bin110001101101100001…
…1100110111100010101
3101012112220011221212112
41203123003212330111
53222113104340344
6121013044400405
710466321120153
oct1433303467425
9335486157775
10106754371349
114130207228a
12188339a6105
13a0b3c73892
14524a11c3d3
152b9c1d4c9e
hex18db0e6f15

106754371349 has 2 divisors, whose sum is σ = 106754371350. Its totient is φ = 106754371348.

The previous prime is 106754371333. The next prime is 106754371429. The reversal of 106754371349 is 943173457601.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 101749516324 + 5004855025 = 318982^2 + 70745^2 .

It is an emirp because it is prime and its reverse (943173457601) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 106754371349 - 24 = 106754371333 is a prime.

It is a super-2 number, since 2×1067543713492 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106754371297 and 106754371306.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (106754371309) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53377185674 + 53377185675.

It is an arithmetic number, because the mean of its divisors is an integer number (53377185675).

Almost surely, 2106754371349 is an apocalyptic number.

It is an amenable number.

106754371349 is a deficient number, since it is larger than the sum of its proper divisors (1).

106754371349 is an equidigital number, since it uses as much as digits as its factorization.

106754371349 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1905120, while the sum is 50.

The spelling of 106754371349 in words is "one hundred six billion, seven hundred fifty-four million, three hundred seventy-one thousand, three hundred forty-nine".