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105667468 = 22314718131
BaseRepresentation
bin1100100110001…
…01101110001100
321100211110111221
412103011232030
5204022324333
614252453124
72422105264
oct623055614
9240743457
10105667468
1154712595
122b47a1a4
1318b7933a
14100687a4
159423d2d
hex64c5b8c

105667468 has 24 divisors (see below), whose sum is σ = 194955264. Its totient is φ = 50038800.

The previous prime is 105667411. The next prime is 105667481. The reversal of 105667468 is 864766501.

It is a happy number.

It is a super-2 number, since 2×1056674682 = 22331227587062048, which contains 22 as substring.

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 7 ways as a sum of consecutive naturals, for example, 3238 + ... + 14893.

It is an arithmetic number, because the mean of its divisors is an integer number (8123136).

Almost surely, 2105667468 is an apocalyptic number.

It is an amenable number.

105667468 is a deficient number, since it is larger than the sum of its proper divisors (89287796).

105667468 is a wasteful number, since it uses less digits than its factorization.

105667468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18213 (or 18211 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 43.

The square root of 105667468 is about 10279.4682741862. The cubic root of 105667468 is about 472.7669411619.

The spelling of 105667468 in words is "one hundred five million, six hundred sixty-seven thousand, four hundred sixty-eight".

Divisors: 1 2 4 31 47 62 94 124 188 1457 2914 5828 18131 36262 72524 562061 852157 1124122 1704314 2248244 3408628 26416867 52833734 105667468