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103345900 = 22527323131
BaseRepresentation
bin1100010100011…
…10111011101100
321012110111220221
412022032323230
5202424032100
614131021124
72363266000
oct612167354
9235414827
10103345900
1153377339
122a73a7a4
1318545728
14da22700
15911601a
hex628eeec

103345900 has 144 divisors (see below), whose sum is σ = 274982400. Its totient is φ = 33633600.

The previous prime is 103345897. The next prime is 103345933. The reversal of 103345900 is 9543301.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 788835 + ... + 788965.

It is an arithmetic number, because the mean of its divisors is an integer number (1909600).

Almost surely, 2103345900 is an apocalyptic number.

103345900 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 103345900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137491200).

103345900 is an abundant number, since it is smaller than the sum of its proper divisors (171636500).

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

103345900 is a wasteful number, since it uses less digits than its factorization.

103345900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 25.

The square root of 103345900 is about 10165.9185517099. The cubic root of 103345900 is about 469.2789607957.

The spelling of 103345900 in words is "one hundred three million, three hundred forty-five thousand, nine hundred".

Divisors: 1 2 4 5 7 10 14 20 23 25 28 35 46 49 50 70 92 98 100 115 131 140 161 175 196 230 245 262 322 343 350 460 490 524 575 644 655 686 700 805 917 980 1127 1150 1225 1310 1372 1610 1715 1834 2254 2300 2450 2620 3013 3220 3275 3430 3668 4025 4508 4585 4900 5635 6026 6419 6550 6860 7889 8050 8575 9170 11270 12052 12838 13100 15065 15778 16100 17150 18340 21091 22540 22925 25676 28175 30130 31556 32095 34300 39445 42182 44933 45850 56350 60260 64190 75325 78890 84364 89866 91700 105455 112700 128380 147637 150650 157780 160475 179732 197225 210910 224665 295274 301300 320950 394450 421820 449330 527275 590548 641900 738185 788900 898660 1033459 1054550 1123325 1476370 2066918 2109100 2246650 2952740 3690925 4133836 4493300 5167295 7381850 10334590 14763700 20669180 25836475 51672950 103345900