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106635149 is a prime number
BaseRepresentation
bin1100101101100…
…01111110001101
321102122121220222
412112301332031
5204244311044
614325321125
72433245435
oct626617615
9242577828
10106635149
1155213625
122b8661a5
131912792a
141023b2c5
1595658ee
hex65b1f8d

106635149 has 2 divisors, whose sum is σ = 106635150. Its totient is φ = 106635148.

The previous prime is 106635131. The next prime is 106635167. The reversal of 106635149 is 941536601.

It is a balanced prime because it is at equal distance from previous prime (106635131) and next prime (106635167).

It can be written as a sum of positive squares in only one way, i.e., 104919049 + 1716100 = 10243^2 + 1310^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-106635149 is a prime.

It is a super-3 number, since 3×1066351493 (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (106635119) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53317574 + 53317575.

It is an arithmetic number, because the mean of its divisors is an integer number (53317575).

Almost surely, 2106635149 is an apocalyptic number.

It is an amenable number.

106635149 is a deficient number, since it is larger than the sum of its proper divisors (1).

106635149 is an equidigital number, since it uses as much as digits as its factorization.

106635149 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 19440, while the sum is 35.

The square root of 106635149 is about 10326.4296346801. The cubic root of 106635149 is about 474.2057255900.

The spelling of 106635149 in words is "one hundred six million, six hundred thirty-five thousand, one hundred forty-nine".