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105452461 is a prime number
BaseRepresentation
bin1100100100100…
…01001110101101
321100102112120201
412102101032231
5203443434321
614244113501
72420221402
oct622211655
9240375521
10105452461
1154585aa4
122b395891
1318b0250a
14100102a9
1593d0291
hex64913ad

105452461 has 2 divisors, whose sum is σ = 105452462. Its totient is φ = 105452460.

The previous prime is 105452429. The next prime is 105452507. The reversal of 105452461 is 164254501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 105452361 + 100 = 10269^2 + 10^2 .

It is a cyclic number.

It is not a de Polignac number, because 105452461 - 25 = 105452429 is a prime.

It is a super-2 number, since 2×1054524612 = 22240443061913042, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105452761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52726230 + 52726231.

It is an arithmetic number, because the mean of its divisors is an integer number (52726231).

Almost surely, 2105452461 is an apocalyptic number.

It is an amenable number.

105452461 is a deficient number, since it is larger than the sum of its proper divisors (1).

105452461 is an equidigital number, since it uses as much as digits as its factorization.

105452461 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4800, while the sum is 28.

The square root of 105452461 is about 10269.0048690221. The cubic root of 105452461 is about 472.4460690758.

The spelling of 105452461 in words is "one hundred five million, four hundred fifty-two thousand, four hundred sixty-one".