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105523464620 = 225710924172861
BaseRepresentation
bin110001001000110110…
…0000100100110101100
3101002101010000102021102
41202101230010212230
53212103001331440
6120250554022232
710423653435620
oct1422154044654
9332333012242
10105523464620
11408302768a2
121854b717978
139c48c4a7c2
145170865180
152b290e1b15
hex1891b049ac

105523464620 has 96 divisors (see below), whose sum is σ = 255774879360. Its totient is φ = 35820195840.

The previous prime is 105523464619. The next prime is 105523464637. The reversal of 105523464620 is 26464325501.

It is a super-2 number, since 2×1055234646202 (a number of 23 digits) contains 22 as substring.

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, 36881990 + ... + 36884850.

It is an arithmetic number, because the mean of its divisors is an integer number (2664321660).

Almost surely, 2105523464620 is an apocalyptic number.

105523464620 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 105523464620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127887439680).

105523464620 is an abundant number, since it is smaller than the sum of its proper divisors (150251414740).

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

105523464620 is a wasteful number, since it uses less digits than its factorization.

105523464620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5403 (or 5401 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 38.

The spelling of 105523464620 in words is "one hundred five billion, five hundred twenty-three million, four hundred sixty-four thousand, six hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 109 140 218 436 545 763 1090 1526 2180 2417 2861 3052 3815 4834 5722 7630 9668 11444 12085 14305 15260 16919 20027 24170 28610 33838 40054 48340 57220 67676 80108 84595 100135 169190 200270 263453 311849 338380 400540 526906 623698 1053812 1247396 1317265 1559245 1844171 2182943 2634530 3118490 3688342 4365886 5269060 6236980 6915037 7376684 8731772 9220855 10914715 13830074 18441710 21829430 27660148 34575185 36883420 43658860 48405259 69150370 96810518 138300740 193621036 242026295 484052590 753739033 968105180 1507478066 3014956132 3768695165 5276173231 7537390330 10552346462 15074780660 21104692924 26380866155 52761732310 105523464620