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106666117 is a prime number
BaseRepresentation
bin1100101101110…
…01100010000101
321102201012101221
412112321202011
5204301303432
614330120341
72433434635
oct626714205
9242635357
10106666117
1155234918
122b8800b1
1319138a5c
14102486c5
15956eb97
hex65b9885

106666117 has 2 divisors, whose sum is σ = 106666118. Its totient is φ = 106666116.

The previous prime is 106666103. The next prime is 106666123. The reversal of 106666117 is 711666601.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 100520676 + 6145441 = 10026^2 + 2479^2 .

It is a cyclic number.

It is not a de Polignac number, because 106666117 - 215 = 106633349 is a prime.

It is a super-2 number, since 2×1066661172 = 22755321031715378, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (106666127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53333058 + 53333059.

It is an arithmetic number, because the mean of its divisors is an integer number (53333059).

Almost surely, 2106666117 is an apocalyptic number.

It is an amenable number.

106666117 is a deficient number, since it is larger than the sum of its proper divisors (1).

106666117 is an equidigital number, since it uses as much as digits as its factorization.

106666117 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 9072, while the sum is 34.

The square root of 106666117 is about 10327.9289792291. The cubic root of 106666117 is about 474.2516259699.

The spelling of 106666117 in words is "one hundred six million, six hundred sixty-six thousand, one hundred seventeen".