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105708653 is a prime number
BaseRepresentation
bin1100100110011…
…11110001101101
321100220120000022
412103033301231
5204030134103
614253411525
72422336331
oct623176155
9240816008
10105708653
1154740526
122b499ba5
1318b91ccb
14100797c1
159431138
hex64cfc6d

105708653 has 2 divisors, whose sum is σ = 105708654. Its totient is φ = 105708652.

The previous prime is 105708641. The next prime is 105708671. The reversal of 105708653 is 356807501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 71859529 + 33849124 = 8477^2 + 5818^2 .

It is a cyclic number.

It is not a de Polignac number, because 105708653 - 222 = 101514349 is a prime.

It is a super-2 number, since 2×1057086532 = 22348638638148818, which contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105708613) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52854326 + 52854327.

It is an arithmetic number, because the mean of its divisors is an integer number (52854327).

Almost surely, 2105708653 is an apocalyptic number.

It is an amenable number.

105708653 is a deficient number, since it is larger than the sum of its proper divisors (1).

105708653 is an equidigital number, since it uses as much as digits as its factorization.

105708653 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 25200, while the sum is 35.

The square root of 105708653 is about 10281.4713441219. The cubic root of 105708653 is about 472.8283551358.

The spelling of 105708653 in words is "one hundred five million, seven hundred eight thousand, six hundred fifty-three".