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106413653 is a prime number
BaseRepresentation
bin1100101011110…
…11111001010101
321102020101002102
412111323321111
5204220214103
614320451445
72431333613
oct625737125
9242211072
10106413653
1155082175
122b779b85
131907ab78
14101c06b3
15951ee88
hex657be55

106413653 has 2 divisors, whose sum is σ = 106413654. Its totient is φ = 106413652.

The previous prime is 106413641. The next prime is 106413679. The reversal of 106413653 is 356314601.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 95609284 + 10804369 = 9778^2 + 3287^2 .

It is a cyclic number.

It is not a de Polignac number, because 106413653 - 26 = 106413589 is a prime.

It is a super-2 number, since 2×1064136532 = 22647731089608818, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (106413613) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53206826 + 53206827.

It is an arithmetic number, because the mean of its divisors is an integer number (53206827).

Almost surely, 2106413653 is an apocalyptic number.

It is an amenable number.

106413653 is a deficient number, since it is larger than the sum of its proper divisors (1).

106413653 is an equidigital number, since it uses as much as digits as its factorization.

106413653 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6480, while the sum is 29.

The square root of 106413653 is about 10315.6993461423. The cubic root of 106413653 is about 473.8771676355.

The spelling of 106413653 in words is "one hundred six million, four hundred thirteen thousand, six hundred fifty-three".