Search a number
-
+
105423030460 = 225112379263729
BaseRepresentation
bin110001000101110110…
…0111100100010111100
3101002010010000211111201
41202023230330202330
53211401243433320
6120233005225244
710421323654636
oct1421354744274
9332103024451
10105423030460
1140789609160
1218521b62224
139c311b44c7
14516139da56
152b203a370a
hex188bb3c8bc

105423030460 has 96 divisors (see below), whose sum is σ = 255206246400. Its totient is φ = 36204579840.

The previous prime is 105423030443. The next prime is 105423030473. The reversal of 105423030460 is 64030324501.

It is a super-2 number, since 2×1054230304602 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 267876 + ... + 531604.

It is an arithmetic number, because the mean of its divisors is an integer number (2658398400).

Almost surely, 2105423030460 is an apocalyptic number.

105423030460 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105423030460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127603123200).

105423030460 is an abundant number, since it is smaller than the sum of its proper divisors (149783215940).

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

105423030460 is a wasteful number, since it uses less digits than its factorization.

105423030460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 263851 (or 263849 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 28.

Adding to 105423030460 its reverse (64030324501), we get a palindrome (169453354961).

The spelling of 105423030460 in words is "one hundred five billion, four hundred twenty-three million, thirty thousand, four hundred sixty".

Divisors: 1 2 4 5 10 11 20 22 23 44 46 55 79 92 110 115 158 220 230 253 316 395 460 506 790 869 1012 1265 1580 1738 1817 2530 3476 3634 4345 5060 7268 8690 9085 17380 18170 19987 36340 39974 79948 99935 199870 263729 399740 527458 1054916 1318645 2637290 2901019 5274580 5802038 6065767 11604076 12131534 14505095 20834591 24263068 29010190 30328835 41669182 58020380 60657670 66723437 83338364 104172955 121315340 133446874 208345910 229180501 266893748 333617185 416691820 458361002 479195593 667234370 916722004 958391186 1145902505 1334468740 1916782372 2291805010 2395977965 4583610020 4791955930 5271151523 9583911860 10542303046 21084606092 26355757615 52711515230 105423030460