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106287465677 is a prime number
BaseRepresentation
bin110001011111100111…
…0100000010011001101
3101011100100121200200212
41202333032200103031
53220134042400202
6120454445132205
710451621360141
oct1427716402315
9334310550625
10106287465677
114109255a128
121872355a065
13a03b308033
1452040dd221
152b71207652
hex18bf3a04cd

106287465677 has 2 divisors, whose sum is σ = 106287465678. Its totient is φ = 106287465676.

The previous prime is 106287465649. The next prime is 106287465721. The reversal of 106287465677 is 776564782601.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 83145145801 + 23142319876 = 288349^2 + 152126^2 .

It is a cyclic number.

It is not a de Polignac number, because 106287465677 - 220 = 106286417101 is a prime.

It is a super-2 number, since 2×1062874656772 (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 (106287465617) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53143732838 + 53143732839.

It is an arithmetic number, because the mean of its divisors is an integer number (53143732839).

Almost surely, 2106287465677 is an apocalyptic number.

It is an amenable number.

106287465677 is a deficient number, since it is larger than the sum of its proper divisors (1).

106287465677 is an equidigital number, since it uses as much as digits as its factorization.

106287465677 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 23708160, while the sum is 59.

The spelling of 106287465677 in words is "one hundred six billion, two hundred eighty-seven million, four hundred sixty-five thousand, six hundred seventy-seven".