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106043664289 is a prime number
BaseRepresentation
bin110001011000010110…
…0011110011110100001
3101010201100212022001211
41202300230132132201
53214134134224124
6120414335430121
710442601163003
oct1426054363641
9333640768054
10106043664289
1140a7797a582
1218675985341
139ccc955b64
1451bd998373
152b59ae9e94
hex18b0b1e7a1

106043664289 has 2 divisors, whose sum is σ = 106043664290. Its totient is φ = 106043664288.

The previous prime is 106043664257. The next prime is 106043664313. The reversal of 106043664289 is 982466340601.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 90360360000 + 15683304289 = 300600^2 + 125233^2 .

It is a cyclic number.

It is not a de Polignac number, because 106043664289 - 25 = 106043664257 is a prime.

It is a super-2 number, since 2×1060436642892 (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (106043664229) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53021832144 + 53021832145.

It is an arithmetic number, because the mean of its divisors is an integer number (53021832145).

Almost surely, 2106043664289 is an apocalyptic number.

It is an amenable number.

106043664289 is a deficient number, since it is larger than the sum of its proper divisors (1).

106043664289 is an equidigital number, since it uses as much as digits as its factorization.

106043664289 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1492992, while the sum is 49.

The spelling of 106043664289 in words is "one hundred six billion, forty-three million, six hundred sixty-four thousand, two hundred eighty-nine".