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105423505460 = 22571363239161
BaseRepresentation
bin110001000101110111…
…0110000100000110100
3101002010010220222002022
41202023232300200310
53211401404133320
6120233023332312
710421331003530
oct1421356604064
9332103828068
10105423505460
1140789903019
1218522151098
139c3131c780
145161484bc0
152b20449325
hex188bbb0834

105423505460 has 96 divisors (see below), whose sum is σ = 272552055552. Its totient is φ = 33355883520.

The previous prime is 105423505427. The next prime is 105423505463. The reversal of 105423505460 is 64505324501.

It is a super-2 number, since 2×1054235054602 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 105423505460.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105423505463) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11503280 + ... + 11512440.

It is an arithmetic number, because the mean of its divisors is an integer number (2839083912).

Almost surely, 2105423505460 is an apocalyptic number.

105423505460 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105423505460 is an abundant number, since it is smaller than the sum of its proper divisors (167128550092).

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

105423505460 is a wasteful number, since it uses less digits than its factorization.

105423505460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15513 (or 15511 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 35.

Adding to 105423505460 its reverse (64505324501), we get a palindrome (169928829961).

The spelling of 105423505460 in words is "one hundred five billion, four hundred twenty-three million, five hundred five thousand, four hundred sixty".

Divisors: 1 2 4 5 7 10 13 14 20 26 28 35 52 65 70 91 130 140 182 260 364 455 910 1820 6323 9161 12646 18322 25292 31615 36644 44261 45805 63230 64127 82199 88522 91610 119093 126460 128254 164398 177044 183220 221305 238186 256508 320635 328796 410995 442610 476372 575393 595465 641270 821990 833651 885220 1150786 1190930 1282540 1643980 1667302 2301572 2381860 2876965 3334604 4168255 5753930 8336510 11507860 16673020 57925003 115850006 231700012 289625015 405475021 579250030 753025039 810950042 1158500060 1506050078 1621900084 2027375105 3012100156 3765125195 4054750210 5271175273 7530250390 8109500420 10542350546 15060500780 21084701092 26355876365 52711752730 105423505460