Search a number
-
+
105764231 is a prime number
BaseRepresentation
bin1100100110111…
…01010110000111
321101000101020202
412103131112013
5204033423411
614254521115
72422660346
oct623352607
9241011222
10105764231
1154779261
122b50619b
1318bb13b1
1410091b5d
15944283b
hex64dd587

105764231 has 2 divisors, whose sum is σ = 105764232. Its totient is φ = 105764230.

The previous prime is 105764213. The next prime is 105764237. The reversal of 105764231 is 132467501.

Together with previous prime (105764213) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It is an emirp because it is prime and its reverse (132467501) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-105764231 is a prime.

It is a super-2 number, since 2×1057642312 = 22372145118042722, which contains 22 as substring.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 105764194 and 105764203.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105764237) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52882115 + 52882116.

It is an arithmetic number, because the mean of its divisors is an integer number (52882116).

Almost surely, 2105764231 is an apocalyptic number.

105764231 is a deficient number, since it is larger than the sum of its proper divisors (1).

105764231 is an equidigital number, since it uses as much as digits as its factorization.

105764231 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5040, while the sum is 29.

The square root of 105764231 is about 10284.1738122224. The cubic root of 105764231 is about 472.9112062851.

The spelling of 105764231 in words is "one hundred five million, seven hundred sixty-four thousand, two hundred thirty-one".