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105054528 = 263719761
BaseRepresentation
bin1100100001100…
…00000101000000
321022200022201110
412100300011000
5203343221103
614231403320
72413643265
oct620600500
9238608643
10105054528
1154334027
122b223540
13189c3357
14dd4926c
159352403
hex6430140

105054528 has 56 divisors (see below), whose sum is σ = 278709120. Its totient is φ = 34923520.

The previous prime is 105054517. The next prime is 105054539. The reversal of 105054528 is 825450501.

It is an interprime number because it is at equal distance from previous prime (105054517) and next prime (105054539).

It is a super-2 number, since 2×1050545282 = 22072907706605568, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105054495 and 105054504.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 137668 + ... + 138428.

Almost surely, 2105054528 is an apocalyptic number.

It is an amenable number.

105054528 is an abundant number, since it is smaller than the sum of its proper divisors (173654592).

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

105054528 is an equidigital number, since it uses as much as digits as its factorization.

105054528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1495 (or 1485 counting only the distinct ones).

The product of its (nonzero) digits is 8000, while the sum is 30.

The square root of 105054528 is about 10249.6111145741. The cubic root of 105054528 is about 471.8510494284.

The spelling of 105054528 in words is "one hundred five million, fifty-four thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 719 761 1438 1522 2157 2283 2876 3044 4314 4566 5752 6088 8628 9132 11504 12176 17256 18264 23008 24352 34512 36528 46016 48704 69024 73056 138048 146112 547159 1094318 1641477 2188636 3282954 4377272 6565908 8754544 13131816 17509088 26263632 35018176 52527264 105054528