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106967153 is a prime number
BaseRepresentation
bin1100110000000…
…11000001110001
321110021111100102
412120003001301
5204340422103
614340402145
72436130406
oct630030161
9243244312
10106967153
1155420007
122b9a6355
1319212a97
14102c62ad
1595cde88
hex6603071

106967153 has 2 divisors, whose sum is σ = 106967154. Its totient is φ = 106967152.

The previous prime is 106967149. The next prime is 106967191. The reversal of 106967153 is 351769601.

It is an a-pointer prime, because the next prime (106967191) can be obtained adding 106967153 to its sum of digits (38).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 55011889 + 51955264 = 7417^2 + 7208^2 .

It is a cyclic number.

It is not a de Polignac number, because 106967153 - 22 = 106967149 is a prime.

It is a super-2 number, since 2×1069671532 = 22883943641850818, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (106967123) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53483576 + 53483577.

It is an arithmetic number, because the mean of its divisors is an integer number (53483577).

Almost surely, 2106967153 is an apocalyptic number.

It is an amenable number.

106967153 is a deficient number, since it is larger than the sum of its proper divisors (1).

106967153 is an equidigital number, since it uses as much as digits as its factorization.

106967153 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 34020, while the sum is 38.

The square root of 106967153 is about 10342.4925912470. The cubic root of 106967153 is about 474.6973555039.

The spelling of 106967153 in words is "one hundred six million, nine hundred sixty-seven thousand, one hundred fifty-three".