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105422623320 = 23357257488339
BaseRepresentation
bin110001000101110101…
…1011001001001011000
3101002010002021011000110
41202023223121021120
53211401142421240
6120232552404320
710421320340640
oct1421353311130
9332102234013
10105422623320
1140789360283
12185219a66a0
139c310a10b1
1451612d5520
152b20322c80
hex188bad9258

105422623320 has 128 divisors (see below), whose sum is σ = 362856153600. Its totient is φ = 24002789376.

The previous prime is 105422623217. The next prime is 105422623391. The reversal of 105422623320 is 23326224501.

It is a super-2 number, since 2×1054226233202 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28290 + ... + 460049.

It is an arithmetic number, because the mean of its divisors is an integer number (2834813700).

Almost surely, 2105422623320 is an apocalyptic number.

105422623320 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 105422623320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181428076800).

105422623320 is an abundant number, since it is smaller than the sum of its proper divisors (257433530280).

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

105422623320 is a wasteful number, since it uses less digits than its factorization.

105422623320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 488617 (or 488613 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

Adding to 105422623320 its reverse (23326224501), we get a palindrome (128748847821).

The spelling of 105422623320 in words is "one hundred five billion, four hundred twenty-two million, six hundred twenty-three thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 140 168 210 257 280 420 514 771 840 1028 1285 1542 1799 2056 2570 3084 3598 3855 5140 5397 6168 7196 7710 8995 10280 10794 14392 15420 17990 21588 26985 30840 35980 43176 53970 71960 107940 215880 488339 976678 1465017 1953356 2441695 2930034 3418373 3906712 4883390 5860068 6836746 7325085 9766780 10255119 11720136 13673492 14650170 17091865 19533560 20510238 27346984 29300340 34183730 41020476 51275595 58600680 68367460 82040952 102551190 125503123 136734920 205102380 251006246 376509369 410204760 502012492 627515615 753018738 878521861 1004024984 1255031230 1506037476 1757043722 1882546845 2510062460 2635565583 3012074952 3514087444 3765093690 4392609305 5020124920 5271131166 7028174888 7530187380 8785218610 10542262332 13177827915 15060374760 17570437220 21084524664 26355655830 35140874440 52711311660 105422623320