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105280844000 = 2553231144357
BaseRepresentation
bin110001000001100111…
…0100011000011100000
3101001202012111000100112
41202003032203003200
53211103344002000
6120210525510452
710414646260103
oct1420316430340
9331665430315
10105280844000
1140716323392
12184a2412428
139c0a8bcbc7
14514a54a73a
152b12b69235
hex18833a30e0

105280844000 has 96 divisors (see below), whose sum is σ = 269922010176. Its totient is φ = 40281331200.

The previous prime is 105280843981. The next prime is 105280844017. The reversal of 105280844000 is 448082501.

It is a happy number.

It is a super-2 number, since 2×1052808440002 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

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, 480179 + ... + 664178.

It is an arithmetic number, because the mean of its divisors is an integer number (2811687606).

Almost surely, 2105280844000 is an apocalyptic number.

105280844000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105280844000 is an abundant number, since it is smaller than the sum of its proper divisors (164641166176).

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

105280844000 is a wasteful number, since it uses less digits than its factorization.

105280844000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1144405 (or 1144387 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 32.

The spelling of 105280844000 in words is "one hundred five billion, two hundred eighty million, eight hundred forty-four thousand".

Divisors: 1 2 4 5 8 10 16 20 23 25 32 40 46 50 80 92 100 115 125 160 184 200 230 250 368 400 460 500 575 736 800 920 1000 1150 1840 2000 2300 2875 3680 4000 4600 5750 9200 11500 18400 23000 46000 92000 1144357 2288714 4577428 5721785 9154856 11443570 18309712 22887140 26320211 28608925 36619424 45774280 52640422 57217850 91548560 105280844 114435700 131601055 143044625 183097120 210561688 228871400 263202110 286089250 421123376 457742800 526404220 572178500 658005275 842246752 915485600 1052808440 1144357000 1316010550 2105616880 2288714000 2632021100 3290026375 4211233760 4577428000 5264042200 6580052750 10528084400 13160105500 21056168800 26320211000 52640422000 105280844000