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106649 is a prime number
BaseRepresentation
bin11010000010011001
312102021222
4122002121
511403044
62141425
7622634
oct320231
9172258
10106649
1173144
1251875
133970a
142ac1b
15218ee
hex1a099

106649 has 2 divisors, whose sum is σ = 106650. Its totient is φ = 106648.

The previous prime is 106637. The next prime is 106657. The reversal of 106649 is 946601.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 105625 + 1024 = 325^2 + 32^2 .

It is a cyclic number.

It is not a de Polignac number, because 106649 - 216 = 41113 is a prime.

It is a super-2 number, since 2×1066492 = 22748018402, which contains 22 as substring.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (106619) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53324 + 53325.

It is an arithmetic number, because the mean of its divisors is an integer number (53325).

2106649 is an apocalyptic number.

It is an amenable number.

106649 is a deficient number, since it is larger than the sum of its proper divisors (1).

106649 is an equidigital number, since it uses as much as digits as its factorization.

106649 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1296, while the sum is 26.

The square root of 106649 is about 326.5715848019. The cubic root of 106649 is about 47.4226256466.

The spelling of 106649 in words is "one hundred six thousand, six hundred forty-nine".