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105456353 is a prime number
BaseRepresentation
bin1100100100100…
…10001011100001
321100102201220212
412102102023201
5203444100403
614244143505
72420235632
oct622221341
9240381825
10105456353
1154588a12
122b397b95
1318b04212
1410011889
1593d14d8
hex64922e1

105456353 has 2 divisors, whose sum is σ = 105456354. Its totient is φ = 105456352.

The previous prime is 105456347. The next prime is 105456359. The reversal of 105456353 is 353654501.

It is a balanced prime because it is at equal distance from previous prime (105456347) and next prime (105456359).

It can be written as a sum of positive squares in only one way, i.e., 102657424 + 2798929 = 10132^2 + 1673^2 .

It is a cyclic number.

It is not a de Polignac number, because 105456353 - 226 = 38347489 is a prime.

It is a super-2 number, since 2×1054563532 = 22242084776121218, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (105456359) 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, 52728176 + 52728177.

It is an arithmetic number, because the mean of its divisors is an integer number (52728177).

Almost surely, 2105456353 is an apocalyptic number.

It is an amenable number.

105456353 is a deficient number, since it is larger than the sum of its proper divisors (1).

105456353 is an equidigital number, since it uses as much as digits as its factorization.

105456353 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 27000, while the sum is 32.

The square root of 105456353 is about 10269.1943695696. The cubic root of 105456353 is about 472.4518812919.

The spelling of 105456353 in words is "one hundred five million, four hundred fifty-six thousand, three hundred fifty-three".