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105439637 is a prime number
BaseRepresentation
bin1100100100011…
…10000110010101
321100101212222202
412102032012111
5203443032022
614243534245
72420136122
oct622160625
9240355882
10105439637
11545773a6
122b38a385
1318ac9724
1410009749
1593cb592
hex648e195

105439637 has 2 divisors, whose sum is σ = 105439638. Its totient is φ = 105439636.

The previous prime is 105439571. The next prime is 105439639. The reversal of 105439637 is 736934501.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 65383396 + 40056241 = 8086^2 + 6329^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-105439637 is a prime.

It is a super-2 number, since 2×1054396372 = 22235034101383538, which contains 22 as substring.

Together with 105439639, 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 105439637.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105439639) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52719818 + 52719819.

It is an arithmetic number, because the mean of its divisors is an integer number (52719819).

Almost surely, 2105439637 is an apocalyptic number.

It is an amenable number.

105439637 is a deficient number, since it is larger than the sum of its proper divisors (1).

105439637 is an equidigital number, since it uses as much as digits as its factorization.

105439637 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 68040, while the sum is 38.

The square root of 105439637 is about 10268.3804467891. The cubic root of 105439637 is about 472.4269170208.

The spelling of 105439637 in words is "one hundred five million, four hundred thirty-nine thousand, six hundred thirty-seven".