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105743418169 is a prime number
BaseRepresentation
bin110001001111011001…
…1001000001100111001
3101002221102220012211011
41202132303020030321
53213030303340134
6120324452233521
710432264136614
oct1423663101471
9332842805734
10105743418169
1140933448194
12185b130b8a1
139c826a002c
145191b5d17b
152b3d58d264
hex189ecc8339

105743418169 has 2 divisors, whose sum is σ = 105743418170. Its totient is φ = 105743418168.

The previous prime is 105743417971. The next prime is 105743418247. The reversal of 105743418169 is 961814347501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 67244269225 + 38499148944 = 259315^2 + 196212^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-105743418169 is a prime.

It is a super-2 number, since 2×1057434181692 (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (105743418569) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52871709084 + 52871709085.

It is an arithmetic number, because the mean of its divisors is an integer number (52871709085).

Almost surely, 2105743418169 is an apocalyptic number.

It is an amenable number.

105743418169 is a deficient number, since it is larger than the sum of its proper divisors (1).

105743418169 is an equidigital number, since it uses as much as digits as its factorization.

105743418169 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 725760, while the sum is 49.

The spelling of 105743418169 in words is "one hundred five billion, seven hundred forty-three million, four hundred eighteen thousand, one hundred sixty-nine".