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105000421 is a prime number
BaseRepresentation
bin1100100001000…
…10110111100101
321022120120111111
412100202313211
5203340003141
614230305021
72413326451
oct620426745
9238516444
10105000421
11542a7409
122b1b8171
13189a4836
14dd33661
159341381
hex6422de5

105000421 has 2 divisors, whose sum is σ = 105000422. Its totient is φ = 105000420.

The previous prime is 105000419. The next prime is 105000431. The reversal of 105000421 is 124000501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 80299521 + 24700900 = 8961^2 + 4970^2 .

It is a cyclic number.

It is not a de Polignac number, because 105000421 - 21 = 105000419 is a prime.

It is a super-2 number, since 2×1050004212 = 22050176820354482, which contains 22 as substring.

Together with 105000419, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105000431) 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, 52500210 + 52500211.

It is an arithmetic number, because the mean of its divisors is an integer number (52500211).

Almost surely, 2105000421 is an apocalyptic number.

It is an amenable number.

105000421 is a deficient number, since it is larger than the sum of its proper divisors (1).

105000421 is an equidigital number, since it uses as much as digits as its factorization.

105000421 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 40, while the sum is 13.

The square root of 105000421 is about 10246.9713086355. The cubic root of 105000421 is about 471.7700285544.

Adding to 105000421 its reverse (124000501), we get a palindrome (229000922).

The spelling of 105000421 in words is "one hundred five million, four hundred twenty-one", and thus it is an aban number.