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105134111423 = 112979107127307
BaseRepresentation
bin110000111101001111…
…0110011101010111111
3101001100222101020002122
41201322132303222333
53210303313031143
6120144204513155
710411215126245
oct1417236635277
9331328336078
10105134111423
1140650512aa0
121846124b7bb
139bb63962b3
145134c72795
152b04d32c68
hex187a7b3abf

105134111423 has 64 divisors (see below), whose sum is σ = 122624409600. Its totient is φ = 89258682240.

The previous prime is 105134111393. The next prime is 105134111431. The reversal of 105134111423 is 324111431501.

It is a cyclic number.

It is not a de Polignac number, because 105134111423 - 210 = 105134110399 is a prime.

It is a super-2 number, since 2×1051341114232 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105134111392 and 105134111401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105134111473) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 342456236 + ... + 342456542.

It is an arithmetic number, because the mean of its divisors is an integer number (1916006400).

Almost surely, 2105134111423 is an apocalyptic number.

105134111423 is a deficient number, since it is larger than the sum of its proper divisors (17490298177).

105134111423 is a wasteful number, since it uses less digits than its factorization.

105134111423 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 660.

The product of its (nonzero) digits is 1440, while the sum is 26.

Adding to 105134111423 its reverse (324111431501), we get a palindrome (429245542924).

The spelling of 105134111423 in words is "one hundred five billion, one hundred thirty-four million, one hundred eleven thousand, four hundred twenty-three".

Divisors: 1 11 29 79 107 127 307 319 869 1177 1397 2291 3103 3377 3683 8453 8903 10033 13589 24253 25201 32849 34133 38989 40513 92983 97933 110363 149479 245137 266783 290957 361339 394081 428879 703337 952621 1073531 1130681 2595071 2696507 3080131 3200527 4171823 4334891 7736707 10478831 11808841 12437491 28545781 31132399 33881441 45890053 75257059 89323799 120982867 329574017 342456389 827827649 982561789 1330811537 3625314187 9557646493 105134111423