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105344150334 = 235311313072243
BaseRepresentation
bin110001000011100000…
…0000010101100111110
3101001220121121022022120
41202013000002230332
53211221100302314
6120221110423410
710416345334503
oct1420700025476
9331817538276
10105344150334
1140749032375
12184bb661b66
139c1aa56a87
145154b094aa
152b184c18a9
hex1887002b3e

105344150334 has 64 divisors (see below), whose sum is σ = 216825548544. Its totient is φ = 34105949696.

The previous prime is 105344150287. The next prime is 105344150413. The reversal of 105344150334 is 433051443501.

It is a super-2 number, since 2×1053441503342 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105344150295 and 105344150304.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 46964617 + ... + 46966859.

It is an arithmetic number, because the mean of its divisors is an integer number (3387899196).

Almost surely, 2105344150334 is an apocalyptic number.

105344150334 is an abundant number, since it is smaller than the sum of its proper divisors (111481398210).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

105344150334 is a wasteful number, since it uses less digits than its factorization.

105344150334 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3721.

The product of its (nonzero) digits is 43200, while the sum is 33.

Adding to 105344150334 its reverse (433051443501), we get a palindrome (538395593835).

The spelling of 105344150334 in words is "one hundred five billion, three hundred forty-four million, one hundred fifty thousand, three hundred thirty-four".

Divisors: 1 2 3 6 53 106 113 159 226 318 339 678 1307 2243 2614 3921 4486 5989 6729 7842 11978 13458 17967 35934 69271 118879 138542 147691 207813 237758 253459 295382 356637 415626 443073 506918 713274 760377 886146 1520754 2931601 5863202 7827623 8794803 13433327 15655246 17589606 23482869 26866654 40299981 46965738 80599962 155374853 310749706 331270913 466124559 662541826 932249118 993812739 1987625478 17557358389 35114716778 52672075167 105344150334