Search a number
-
+
105456493 is a prime number
BaseRepresentation
bin1100100100100…
…10001101101101
321100102202010001
412102102031231
5203444101433
614244144301
72420236222
oct622221555
9240382101
10105456493
115458902a
122b398091
1318b042bc
1410011949
1593d157d
hex649236d

105456493 has 2 divisors, whose sum is σ = 105456494. Its totient is φ = 105456492.

The previous prime is 105456487. The next prime is 105456521. The reversal of 105456493 is 394654501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 99241444 + 6215049 = 9962^2 + 2493^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-105456493 is a prime.

It is a super-2 number, since 2×1054564932 = 22242143831718098, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105456413) 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, 52728246 + 52728247.

It is an arithmetic number, because the mean of its divisors is an integer number (52728247).

Almost surely, 2105456493 is an apocalyptic number.

It is an amenable number.

105456493 is a deficient number, since it is larger than the sum of its proper divisors (1).

105456493 is an equidigital number, since it uses as much as digits as its factorization.

105456493 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 64800, while the sum is 37.

The square root of 105456493 is about 10269.2011860709. The cubic root of 105456493 is about 472.4520903617.

The spelling of 105456493 in words is "one hundred five million, four hundred fifty-six thousand, four hundred ninety-three".