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106217753 is a prime number
BaseRepresentation
bin1100101010011…
…00000100011001
321101212102100212
412111030010121
5204142432003
614312340505
72426556515
oct625140431
9241772325
10106217753
1154a58a74
122b6a4735
131900c955
141016d145
1594d1dd8
hex654c119

106217753 has 2 divisors, whose sum is σ = 106217754. Its totient is φ = 106217752.

The previous prime is 106217737. The next prime is 106217789. The reversal of 106217753 is 357712601.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 88887184 + 17330569 = 9428^2 + 4163^2 .

It is a cyclic number.

It is not a de Polignac number, because 106217753 - 24 = 106217737 is a prime.

It is a super-2 number, since 2×1062177532 = 22564422104738018, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (106217453) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53108876 + 53108877.

It is an arithmetic number, because the mean of its divisors is an integer number (53108877).

Almost surely, 2106217753 is an apocalyptic number.

It is an amenable number.

106217753 is a deficient number, since it is larger than the sum of its proper divisors (1).

106217753 is an equidigital number, since it uses as much as digits as its factorization.

106217753 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8820, while the sum is 32.

The square root of 106217753 is about 10306.1997360812. The cubic root of 106217753 is about 473.5861975739.

The spelling of 106217753 in words is "one hundred six million, two hundred seventeen thousand, seven hundred fifty-three".