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106005651173 is a prime number
BaseRepresentation
bin110001010111001101…
…1011101111011100101
3101010121201100000212122
41202232123131323211
53214044421314143
6120410500555325
710441630111412
oct1425633357345
9333551300778
10106005651173
1140a58476784
12186650b2b45
139cc4b067a6
1451b8901109
152b565dbc68
hex18ae6ddee5

106005651173 has 2 divisors, whose sum is σ = 106005651174. Its totient is φ = 106005651172.

The previous prime is 106005651139. The next prime is 106005651223. The reversal of 106005651173 is 371156500601.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 96237689284 + 9767961889 = 310222^2 + 98833^2 .

It is a cyclic number.

It is not a de Polignac number, because 106005651173 - 218 = 106005389029 is a prime.

It is a super-2 number, since 2×1060056511732 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (106005651113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53002825586 + 53002825587.

It is an arithmetic number, because the mean of its divisors is an integer number (53002825587).

Almost surely, 2106005651173 is an apocalyptic number.

It is an amenable number.

106005651173 is a deficient number, since it is larger than the sum of its proper divisors (1).

106005651173 is an equidigital number, since it uses as much as digits as its factorization.

106005651173 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 18900, while the sum is 35.

The spelling of 106005651173 in words is "one hundred six billion, five million, six hundred fifty-one thousand, one hundred seventy-three".