Search a number
-
+
105939583 is a prime number
BaseRepresentation
bin1100101000010…
…00001001111111
321101100021210021
412110020021333
5204110031313
614302353011
72424320521
oct624101177
9241307707
10105939583
1154888a82
122b58b767
1318c43159
14100d9a11
15947978d
hex650827f

105939583 has 2 divisors, whose sum is σ = 105939584. Its totient is φ = 105939582.

The previous prime is 105939577. The next prime is 105939599. The reversal of 105939583 is 385939501.

It is a weak prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-105939583 is a prime.

It is a super-2 number, since 2×1059395832 = 22446390492427778, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105939083) 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, 52969791 + 52969792.

It is an arithmetic number, because the mean of its divisors is an integer number (52969792).

Almost surely, 2105939583 is an apocalyptic number.

105939583 is a deficient number, since it is larger than the sum of its proper divisors (1).

105939583 is an equidigital number, since it uses as much as digits as its factorization.

105939583 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 145800, while the sum is 43.

The square root of 105939583 is about 10292.6956138807. The cubic root of 105939583 is about 473.1724166463.

The spelling of 105939583 in words is "one hundred five million, nine hundred thirty-nine thousand, five hundred eighty-three".