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106667040341 is a prime number
BaseRepresentation
bin110001101010111011…
…0011101111001010101
3101012022210212002020202
41203111312131321111
53221423230242331
6121000244510245
710464210611621
oct1432566357125
9335283762222
10106667040341
11412678441a4
121880a6ab385
13a09bb47724
14523c6a8181
152b946d3ecb
hex18d5d9de55

106667040341 has 2 divisors, whose sum is σ = 106667040342. Its totient is φ = 106667040340.

The previous prime is 106667040323. The next prime is 106667040349. The reversal of 106667040341 is 143040766601.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 106657762225 + 9278116 = 326585^2 + 3046^2 .

It is an emirp because it is prime and its reverse (143040766601) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 106667040341 - 210 = 106667039317 is a prime.

It is a super-2 number, since 2×1066670403412 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106667040295 and 106667040304.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (106667040349) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53333520170 + 53333520171.

It is an arithmetic number, because the mean of its divisors is an integer number (53333520171).

Almost surely, 2106667040341 is an apocalyptic number.

It is an amenable number.

106667040341 is a deficient number, since it is larger than the sum of its proper divisors (1).

106667040341 is an equidigital number, since it uses as much as digits as its factorization.

106667040341 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 72576, while the sum is 38.

It can be divided in two parts, 1066670 and 40341, that added together give a palindrome (1107011).

The spelling of 106667040341 in words is "one hundred six billion, six hundred sixty-seven million, forty thousand, three hundred forty-one".