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105730803243 = 32132944517001
BaseRepresentation
bin110001001111000001…
…1000000011000101011
3101002220120011022101200
41202132003000120223
53213014041200433
6120323322015243
710432051666452
oct1423603003053
9332816138350
10105730803243
114092731142a
12185a9047523
139c7cba4190
1451901d7b99
152b3c3ea613
hex189e0c062b

105730803243 has 48 divisors (see below), whose sum is σ = 170204055840. Its totient is φ = 62798400000.

The previous prime is 105730803203. The next prime is 105730803247. The reversal of 105730803243 is 342308037501.

105730803243 is a `hidden beast` number, since 1 + 0 + 573 + 0 + 80 + 3 + 2 + 4 + 3 = 666.

It is not a de Polignac number, because 105730803243 - 217 = 105730672171 is a prime.

It is a super-2 number, since 2×1057308032432 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105730803198 and 105730803207.

It is not an unprimeable number, because it can be changed into a prime (105730803247) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15098743 + ... + 15105743.

It is an arithmetic number, because the mean of its divisors is an integer number (3545917830).

Almost surely, 2105730803243 is an apocalyptic number.

105730803243 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

105730803243 is a deficient number, since it is larger than the sum of its proper divisors (64473252597).

105730803243 is a wasteful number, since it uses less digits than its factorization.

105730803243 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11500 (or 11497 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The spelling of 105730803243 in words is "one hundred five billion, seven hundred thirty million, eight hundred three thousand, two hundred forty-three".

Divisors: 1 3 9 13 29 39 87 117 261 377 1131 3393 4451 7001 13353 21003 40059 57863 63009 91013 129079 173589 203029 273039 387237 520767 609087 819117 1161711 1678027 1827261 2639377 5034081 7918131 15102243 23754393 31161451 93484353 280453059 405098863 903682079 1215296589 2711046237 3645889767 8133138711 11747867027 35243601081 105730803243