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106566561197 is a prime number
BaseRepresentation
bin110001100111111011…
…1001010110110101101
3101012001210210012202222
41203033313022312231
53221222014424242
6120542255125125
710461550552535
oct1431767126655
9335053705688
10106566561197
1141216055788
12187a0b137a5
13a084096b05
14522d1d04c5
152b8a9875d2
hex18cfdcadad

106566561197 has 2 divisors, whose sum is σ = 106566561198. Its totient is φ = 106566561196.

The previous prime is 106566561133. The next prime is 106566561229. The reversal of 106566561197 is 791165665601.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 73011282436 + 33555278761 = 270206^2 + 183181^2 .

It is a cyclic number.

It is not a de Polignac number, because 106566561197 - 26 = 106566561133 is a prime.

It is a super-2 number, since 2×1065665611972 (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 (106566561397) 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, 53283280598 + 53283280599.

It is an arithmetic number, because the mean of its divisors is an integer number (53283280599).

Almost surely, 2106566561197 is an apocalyptic number.

It is an amenable number.

106566561197 is a deficient number, since it is larger than the sum of its proper divisors (1).

106566561197 is an equidigital number, since it uses as much as digits as its factorization.

106566561197 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2041200, while the sum is 53.

The spelling of 106566561197 in words is "one hundred six billion, five hundred sixty-six million, five hundred sixty-one thousand, one hundred ninety-seven".