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105981481 is a prime number
BaseRepresentation
bin1100101000100…
…10011000101001
321101102102021001
412110102120221
5204112401411
614303315001
72424553624
oct624223051
9241372231
10105981481
1154907501
122b5aba61
1318c59248
141010adbb
159486dc1
hex6512629

105981481 has 2 divisors, whose sum is σ = 105981482. Its totient is φ = 105981480.

The previous prime is 105981479. The next prime is 105981527. The reversal of 105981481 is 184189501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 56490256 + 49491225 = 7516^2 + 7035^2 .

It is a cyclic number.

It is not a de Polignac number, because 105981481 - 21 = 105981479 is a prime.

It is a super-2 number, since 2×1059814812 = 22464148629906722, which contains 22 as substring.

Together with 105981479, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 105981481.

It is not a weakly prime, because it can be changed into another prime (105961481) 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, 52990740 + 52990741.

It is an arithmetic number, because the mean of its divisors is an integer number (52990741).

Almost surely, 2105981481 is an apocalyptic number.

It is an amenable number.

105981481 is a deficient number, since it is larger than the sum of its proper divisors (1).

105981481 is an equidigital number, since it uses as much as digits as its factorization.

105981481 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 11520, while the sum is 37.

The square root of 105981481 is about 10294.7307395580. The cubic root of 105981481 is about 473.2347866764.

The spelling of 105981481 in words is "one hundred five million, nine hundred eighty-one thousand, four hundred eighty-one".