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105535021 is a prime number
BaseRepresentation
bin1100100101001…
…01011000101101
321100120201211111
412102211120231
5204004110041
614245552021
72421014164
oct622453055
9240521744
10105535021
1154632029
122b415611
1318b30c77
14100323db
1593e9981
hex64a562d

105535021 has 2 divisors, whose sum is σ = 105535022. Its totient is φ = 105535020.

The previous prime is 105535013. The next prime is 105535033. The reversal of 105535021 is 120535501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 78960996 + 26574025 = 8886^2 + 5155^2 .

It is a cyclic number.

It is not a de Polignac number, because 105535021 - 23 = 105535013 is a prime.

It is a super-2 number, since 2×1055350212 = 22275281314940882, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105534983 and 105535001.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105535121) 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, 52767510 + 52767511.

It is an arithmetic number, because the mean of its divisors is an integer number (52767511).

Almost surely, 2105535021 is an apocalyptic number.

It is an amenable number.

105535021 is a deficient number, since it is larger than the sum of its proper divisors (1).

105535021 is an equidigital number, since it uses as much as digits as its factorization.

105535021 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 750, while the sum is 22.

The square root of 105535021 is about 10273.0239462390. The cubic root of 105535021 is about 472.5693314834.

The spelling of 105535021 in words is "one hundred five million, five hundred thirty-five thousand, twenty-one".