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105683552 = 2513254047
BaseRepresentation
bin1100100110010…
…01101001100000
321100212021120122
412103021221200
5204023333202
614253055412
72422203212
oct623115140
9240767518
10105683552
1154723687
122b487568
1318b83760
14100705b2
1594289a2
hex64c9a60

105683552 has 24 divisors (see below), whose sum is σ = 224070336. Its totient is φ = 48776832.

The previous prime is 105683549. The next prime is 105683563. The reversal of 105683552 is 255386501.

It is a super-2 number, since 2×1056835522 = 22338026326673408, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 126608 + ... + 127439.

It is an arithmetic number, because the mean of its divisors is an integer number (9336264).

Almost surely, 2105683552 is an apocalyptic number.

It is an amenable number.

105683552 is an abundant number, since it is smaller than the sum of its proper divisors (118386784).

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

105683552 is a wasteful number, since it uses less digits than its factorization.

105683552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254070 (or 254062 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 35.

The square root of 105683552 is about 10280.2505806036. The cubic root of 105683552 is about 472.7909270927.

The spelling of 105683552 in words is "one hundred five million, six hundred eighty-three thousand, five hundred fifty-two".

Divisors: 1 2 4 8 13 16 26 32 52 104 208 416 254047 508094 1016188 2032376 3302611 4064752 6605222 8129504 13210444 26420888 52841776 105683552