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108021120 = 2735127443
BaseRepresentation
bin1100111000001…
…00010110000000
321112021001010020
412130010112000
5210123133440
614415133440
72451110244
oct634042600
9245231106
10108021120
1155a7a959
1230214280
13194c172c
14104bc424
15973b3d0
hex6704580

108021120 has 128 divisors (see below), whose sum is σ = 347811840. Its totient is φ = 28514304.

The previous prime is 108021119. The next prime is 108021131. The reversal of 108021120 is 21120801.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 108021120.

It is a congruent number.

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, 243619 + ... + 244061.

It is an arithmetic number, because the mean of its divisors is an integer number (2717280).

Almost surely, 2108021120 is an apocalyptic number.

108021120 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 108021120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173905920).

108021120 is an abundant number, since it is smaller than the sum of its proper divisors (239790720).

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

108021120 is a wasteful number, since it uses less digits than its factorization.

108021120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 592 (or 580 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

The square root of 108021120 is about 10393.3209322141. The cubic root of 108021120 is about 476.2513560766.

Adding to 108021120 its reverse (21120801), we get a palindrome (129141921).

The spelling of 108021120 in words is "one hundred eight million, twenty-one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 127 128 160 192 240 254 320 381 384 443 480 508 635 640 762 886 960 1016 1270 1329 1524 1772 1905 1920 2032 2215 2540 2658 3048 3544 3810 4064 4430 5080 5316 6096 6645 7088 7620 8128 8860 10160 10632 12192 13290 14176 15240 16256 17720 20320 21264 24384 26580 28352 30480 35440 40640 42528 48768 53160 56261 56704 60960 70880 81280 85056 106320 112522 121920 141760 168783 170112 212640 225044 243840 281305 283520 337566 425280 450088 562610 675132 843915 850560 900176 1125220 1350264 1687830 1800352 2250440 2700528 3375660 3600704 4500880 5401056 6751320 7201408 9001760 10802112 13502640 18003520 21604224 27005280 36007040 54010560 108021120