Search a number
-
+
105144415907 is a prime number
BaseRepresentation
bin110000111101100011…
…0000111011010100011
3101001101200202202012012
41201323012013122203
53210313432302112
6120145213423135
710411401534416
oct1417306073243
9331350682165
10105144415907
11406563109a3
121846479aaab
139bb856361b
145136395b7d
152b05bbb022
hex187b1876a3

105144415907 has 2 divisors, whose sum is σ = 105144415908. Its totient is φ = 105144415906.

The previous prime is 105144415861. The next prime is 105144415919. The reversal of 105144415907 is 709514441501.

It is a strong prime.

It is an emirp because it is prime and its reverse (709514441501) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 105144415907 - 222 = 105140221603 is a prime.

It is a super-2 number, since 2×1051444159072 (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (105144415307) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52572207953 + 52572207954.

It is an arithmetic number, because the mean of its divisors is an integer number (52572207954).

Almost surely, 2105144415907 is an apocalyptic number.

105144415907 is a deficient number, since it is larger than the sum of its proper divisors (1).

105144415907 is an equidigital number, since it uses as much as digits as its factorization.

105144415907 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 100800, while the sum is 41.

The spelling of 105144415907 in words is "one hundred five billion, one hundred forty-four million, four hundred fifteen thousand, nine hundred seven".