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105344340549 = 3722309310363
BaseRepresentation
bin110001000011100000…
…0110001001001000101
3101001220121221222020120
41202013000301021011
53211221122344144
6120221114452153
710416350056200
oct1420700611105
9331817858216
10105344340549
1140749152278
12184bb734059
139c1aac2526
145154b58937
152b1850ce19
hex1887031245

105344340549 has 24 divisors (see below), whose sum is σ = 163462511520. Its totient is φ = 60170501664.

The previous prime is 105344340547. The next prime is 105344340559. The reversal of 105344340549 is 945043443501.

It is not a de Polignac number, because 105344340549 - 21 = 105344340547 is a prime.

It is a super-2 number, since 2×1053443405492 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105344340549.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105344340547) 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 in 23 ways as a sum of consecutive naturals, for example, 184242 + ... + 494604.

It is an arithmetic number, because the mean of its divisors is an integer number (6810937980).

Almost surely, 2105344340549 is an apocalyptic number.

It is an amenable number.

105344340549 is a deficient number, since it is larger than the sum of its proper divisors (58118170971).

105344340549 is a wasteful number, since it uses less digits than its factorization.

105344340549 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312689 (or 312682 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 42.

The spelling of 105344340549 in words is "one hundred five billion, three hundred forty-four million, three hundred forty thousand, five hundred forty-nine".

Divisors: 1 3 7 21 49 147 2309 6927 16163 48489 113141 310363 339423 931089 2172541 6517623 15207787 45623361 716628167 2149884501 5016397169 15049191507 35114780183 105344340549