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106705035401 is a prime number
BaseRepresentation
bin110001101100000011…
…1011010000010001001
3101012102110100102200012
41203120013122002021
53222012442113101
6121004123121305
710465151556446
oct1433007320211
9335373312605
10106705035401
1141287235478
121881b373235
13a0a698b803
1452437589cd
152b97bdbbbb
hex18d81da089

106705035401 has 2 divisors, whose sum is σ = 106705035402. Its totient is φ = 106705035400.

The previous prime is 106705035377. The next prime is 106705035421. The reversal of 106705035401 is 104530507601.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 88113985600 + 18591049801 = 296840^2 + 136349^2 .

It is a cyclic number.

It is not a de Polignac number, because 106705035401 - 226 = 106637926537 is a prime.

It is a super-2 number, since 2×1067050354012 (a number of 23 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (106705035421) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53352517700 + 53352517701.

It is an arithmetic number, because the mean of its divisors is an integer number (53352517701).

Almost surely, 2106705035401 is an apocalyptic number.

It is an amenable number.

106705035401 is a deficient number, since it is larger than the sum of its proper divisors (1).

106705035401 is an equidigital number, since it uses as much as digits as its factorization.

106705035401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 12600, while the sum is 32.

The spelling of 106705035401 in words is "one hundred six billion, seven hundred five million, thirty-five thousand, four hundred one".