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105155305500 = 22353710014791
BaseRepresentation
bin110000111101110111…
…1101010000000011100
3101001102110020222220110
41201323233222000130
53210324224234000
6120150243050020
710411563230460
oct1417357520034
9331373228813
10105155305500
1140661479463
1218468370910
139bba8a707b
1451379cc4a0
152b06b1c850
hex187bbea01c

105155305500 has 96 divisors (see below), whose sum is σ = 349956891648. Its totient is φ = 24035496000.

The previous prime is 105155305481. The next prime is 105155305513. The reversal of 105155305500 is 5503551501.

It is a super-2 number, since 2×1051553055002 (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4996896 + ... + 5017895.

It is an arithmetic number, because the mean of its divisors is an integer number (3645384288).

Almost surely, 2105155305500 is an apocalyptic number.

105155305500 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105155305500 is an abundant number, since it is smaller than the sum of its proper divisors (244801586148).

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

105155305500 is a wasteful number, since it uses less digits than its factorization.

105155305500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10014820 (or 10014808 counting only the distinct ones).

The product of its (nonzero) digits is 9375, while the sum is 30.

The spelling of 105155305500 in words is "one hundred five billion, one hundred fifty-five million, three hundred five thousand, five hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 30 35 42 50 60 70 75 84 100 105 125 140 150 175 210 250 300 350 375 420 500 525 700 750 875 1050 1500 1750 2100 2625 3500 5250 10500 10014791 20029582 30044373 40059164 50073955 60088746 70103537 100147910 120177492 140207074 150221865 200295820 210310611 250369775 280414148 300443730 350517685 420621222 500739550 600887460 701035370 751109325 841242444 1001479100 1051553055 1251848875 1402070740 1502218650 1752588425 2103106110 2503697750 3004437300 3505176850 3755546625 4206212220 5007395500 5257765275 7010353700 7511093250 8762942125 10515530550 15022186500 17525884250 21031061100 26288826375 35051768500 52577652750 105155305500