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10105621 is a prime number
BaseRepresentation
bin100110100011…
…001100010101
3201000102022021
4212203030111
510041334441
61000333141
7151616311
oct46431425
921012267
1010105621
115782559
1234741b1
13212a976
1414b0b41
15d493d1
hex9a3315

10105621 has 2 divisors, whose sum is σ = 10105622. Its totient is φ = 10105620.

The previous prime is 10105607. The next prime is 10105631. The reversal of 10105621 is 12650101.

It is a happy number.

10105621 is nontrivially palindromic in base 14.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7263025 + 2842596 = 2695^2 + 1686^2 .

It is an emirp because it is prime and its reverse (12650101) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10105621 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10105595 and 10105604.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10105631) 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, 5052810 + 5052811.

It is an arithmetic number, because the mean of its divisors is an integer number (5052811).

Almost surely, 210105621 is an apocalyptic number.

It is an amenable number.

10105621 is a deficient number, since it is larger than the sum of its proper divisors (1).

10105621 is an equidigital number, since it uses as much as digits as its factorization.

10105621 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 60, while the sum is 16.

The square root of 10105621 is about 3178.9339408047. The cubic root of 10105621 is about 216.1993258925.

Adding to 10105621 its reverse (12650101), we get a palindrome (22755722).

The spelling of 10105621 in words is "ten million, one hundred five thousand, six hundred twenty-one".