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104644106220 = 223517199515539
BaseRepresentation
bin110000101110101000…
…1100101011111101100
3101000002211100101022210
41201131101211133230
53203302342344340
6120023422210420
710363115140533
oct1413521453754
9330084311283
10104644106220
1140419962915
1218345123a10
139b38a005a4
1450c9b5d31a
152ac6ce1180
hex185d4657ec

104644106220 has 96 divisors (see below), whose sum is σ = 311798592000. Its totient is φ = 26131590144.

The previous prime is 104644106209. The next prime is 104644106239. The reversal of 104644106220 is 22601446401.

It is a happy number.

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

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, 54790 + ... + 460749.

It is an arithmetic number, because the mean of its divisors is an integer number (3247902000).

Almost surely, 2104644106220 is an apocalyptic number.

104644106220 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 104644106220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155899296000).

104644106220 is an abundant number, since it is smaller than the sum of its proper divisors (207154485780).

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

104644106220 is a wasteful number, since it uses less digits than its factorization.

104644106220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 515767 (or 515765 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The spelling of 104644106220 in words is "one hundred four billion, six hundred forty-four million, one hundred six thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 34 51 60 68 85 102 170 199 204 255 340 398 510 597 796 995 1020 1194 1990 2388 2985 3383 3980 5970 6766 10149 11940 13532 16915 20298 33830 40596 50745 67660 101490 202980 515539 1031078 1546617 2062156 2577695 3093234 5155390 6186468 7733085 8764163 10310780 15466170 17528326 26292489 30932340 35056652 43820815 52584978 87641630 102592261 105169956 131462445 175283260 205184522 262924890 307776783 410369044 512961305 525849780 615553566 1025922610 1231107132 1538883915 1744068437 2051845220 3077767830 3488136874 5232205311 6155535660 6976273748 8720342185 10464410622 17440684370 20928821244 26161026555 34881368740 52322053110 104644106220