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106107649 is a prime number
BaseRepresentation
bin1100101001100…
…01001100000001
321101122211022221
412110301030001
5204130421044
614310131041
72425620514
oct624611401
9241584287
10106107649
115499327a
122b650a81
1318ca17bb
1410140d7b
1594ae484
hex6531301

106107649 has 2 divisors, whose sum is σ = 106107650. Its totient is φ = 106107648.

The previous prime is 106107587. The next prime is 106107653. The reversal of 106107649 is 946701601.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 60949249 + 45158400 = 7807^2 + 6720^2 .

It is a cyclic number.

It is not a de Polignac number, because 106107649 - 29 = 106107137 is a prime.

It is a super-2 number, since 2×1061076492 = 22517666352614402, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (106107679) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53053824 + 53053825.

It is an arithmetic number, because the mean of its divisors is an integer number (53053825).

Almost surely, 2106107649 is an apocalyptic number.

It is an amenable number.

106107649 is a deficient number, since it is larger than the sum of its proper divisors (1).

106107649 is an equidigital number, since it uses as much as digits as its factorization.

106107649 is an evil number, because the sum of its binary digits is even.

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

The square root of 106107649 is about 10300.8567119439. The cubic root of 106107649 is about 473.4225031481.

The spelling of 106107649 in words is "one hundred six million, one hundred seven thousand, six hundred forty-nine".