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105843990 = 2357701719
BaseRepresentation
bin1100100111100…
…00110100010110
321101011102122210
412103300310112
5204044001430
614300334250
72423442030
oct623606426
9241142583
10105843990
115482317a
122b544386
1318c0b7a5
14100b2c50
15945b2b0
hex64f0d16

105843990 has 64 divisors (see below), whose sum is σ = 291133440. Its totient is φ = 24124800.

The previous prime is 105843979. The next prime is 105844033. The reversal of 105843990 is 99348501.

It is a super-2 number, since 2×1058439902 = 22405900438240200, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 146851 + ... + 147569.

It is an arithmetic number, because the mean of its divisors is an integer number (4548960).

Almost surely, 2105843990 is an apocalyptic number.

105843990 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

105843990 is an abundant number, since it is smaller than the sum of its proper divisors (185289450).

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

105843990 is a wasteful number, since it uses less digits than its factorization.

105843990 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1437.

The product of its (nonzero) digits is 38880, while the sum is 39.

The square root of 105843990 is about 10288.0508357998. The cubic root of 105843990 is about 473.0300537977.

The spelling of 105843990 in words is "one hundred five million, eight hundred forty-three thousand, nine hundred ninety".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 105 210 701 719 1402 1438 2103 2157 3505 3595 4206 4314 4907 5033 7010 7190 9814 10066 10515 10785 14721 15099 21030 21570 24535 25165 29442 30198 49070 50330 73605 75495 147210 150990 504019 1008038 1512057 2520095 3024114 3528133 5040190 7056266 7560285 10584399 15120570 17640665 21168798 35281330 52921995 105843990