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106264397760 = 2635195825899
BaseRepresentation
bin110001011110111011…
…0100000011111000000
3101011021202012201110120
41202331312200133000
53220112141212020
6120452302500240
710451221322553
oct1427566403700
9334252181416
10106264397760
1141080533934
1218717894680
13a0365bc391
14520101669a
152b6e19c740
hex18bdda07c0

106264397760 has 112 divisors (see below), whose sum is σ = 355146864000. Its totient is φ = 26845737984.

The previous prime is 106264397731. The next prime is 106264397819. The reversal of 106264397760 is 67793462601.

It is a super-2 number, since 2×1062643977602 (a number of 23 digits) contains 22 as substring.

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, 2894710 + ... + 2931189.

Almost surely, 2106264397760 is an apocalyptic number.

106264397760 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106264397760 is an abundant number, since it is smaller than the sum of its proper divisors (248882466240).

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

106264397760 is a wasteful number, since it uses less digits than its factorization.

106264397760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5825938 (or 5825928 counting only the distinct ones).

The product of its (nonzero) digits is 2286144, while the sum is 51.

The spelling of 106264397760 in words is "one hundred six billion, two hundred sixty-four million, three hundred ninety-seven thousand, seven hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 19 20 24 30 32 38 40 48 57 60 64 76 80 95 96 114 120 152 160 190 192 228 240 285 304 320 380 456 480 570 608 760 912 960 1140 1216 1520 1824 2280 3040 3648 4560 6080 9120 18240 5825899 11651798 17477697 23303596 29129495 34955394 46607192 58258990 69910788 87388485 93214384 110692081 116517980 139821576 174776970 186428768 221384162 233035960 279643152 332076243 349553940 372857536 442768324 466071920 553460405 559286304 664152486 699107880 885536648 932143840 1106920810 1118572608 1328304972 1398215760 1660381215 1771073296 1864287680 2213841620 2656609944 2796431520 3320762430 3542146592 4427683240 5313219888 5592863040 6641524860 7084293184 8855366480 10626439776 13283049720 17710732960 21252879552 26566099440 35421465920 53132198880 106264397760