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108120320 = 2857111097
BaseRepresentation
bin1100111000111…
…00100100000000
321112110002012022
412130130210000
5210134322240
614421221012
72452002410
oct634344400
9245402168
10108120320
1156038440
1230261768
1319527929
1410506640
15975a9b5
hex671c900

108120320 has 144 divisors (see below), whose sum is σ = 323180928. Its totient is φ = 33669120.

The previous prime is 108120319. The next prime is 108120347. The reversal of 108120320 is 23021801.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 98012 + ... + 99108.

It is an arithmetic number, because the mean of its divisors is an integer number (2244312).

Almost surely, 2108120320 is an apocalyptic number.

108120320 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 108120320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161590464).

108120320 is an abundant number, since it is smaller than the sum of its proper divisors (215060608).

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

108120320 is a wasteful number, since it uses less digits than its factorization.

108120320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1136 (or 1122 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

The square root of 108120320 is about 10398.0921326943. The cubic root of 108120320 is about 476.3970981928.

The spelling of 108120320 in words is "one hundred eight million, one hundred twenty thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 11 14 16 20 22 28 32 35 40 44 55 56 64 70 77 80 88 110 112 128 140 154 160 176 220 224 256 280 308 320 352 385 440 448 560 616 640 704 770 880 896 1097 1120 1232 1280 1408 1540 1760 1792 2194 2240 2464 2816 3080 3520 4388 4480 4928 5485 6160 7040 7679 8776 8960 9856 10970 12067 12320 14080 15358 17552 19712 21940 24134 24640 30716 35104 38395 43880 48268 49280 60335 61432 70208 76790 84469 87760 96536 98560 120670 122864 140416 153580 168938 175520 193072 241340 245728 280832 307160 337876 351040 386144 422345 482680 491456 614320 675752 702080 772288 844690 965360 982912 1228640 1351504 1404160 1544576 1689380 1930720 1965824 2457280 2703008 3089152 3378760 3861440 4914560 5406016 6757520 7722880 9829120 10812032 13515040 15445760 21624064 27030080 54060160 108120320