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106966361 is a prime number
BaseRepresentation
bin1100110000000…
…10110101011001
321110021110021002
412120002311121
5204340410421
614340354345
72436125165
oct630026531
9243243232
10106966361
115541a457
122b9a59b5
1319212608
14102c5ca5
1595cdb0b
hex6602d59

106966361 has 2 divisors, whose sum is σ = 106966362. Its totient is φ = 106966360.

The previous prime is 106966319. The next prime is 106966369. The reversal of 106966361 is 163669601.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 103144336 + 3822025 = 10156^2 + 1955^2 .

It is an emirp because it is prime and its reverse (163669601) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 106966361 - 218 = 106704217 is a prime.

It is a super-2 number, since 2×1069663612 = 22883604771164642, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (106966369) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53483180 + 53483181.

It is an arithmetic number, because the mean of its divisors is an integer number (53483181).

Almost surely, 2106966361 is an apocalyptic number.

It is an amenable number.

106966361 is a deficient number, since it is larger than the sum of its proper divisors (1).

106966361 is an equidigital number, since it uses as much as digits as its factorization.

106966361 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 34992, while the sum is 38.

The square root of 106966361 is about 10342.4543025338. The cubic root of 106966361 is about 474.6961839255.

The spelling of 106966361 in words is "one hundred six million, nine hundred sixty-six thousand, three hundred sixty-one".