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105442056 = 23324731159
BaseRepresentation
bin1100100100011…
…10101100001000
321100102000022100
412102032230020
5203443121211
614243553400
72420146146
oct622165410
9240360270
10105442056
11545791a5
122b38b860
1318aca865
141000a596
1593cc156
hex648eb08

105442056 has 48 divisors (see below), whose sum is σ = 291657600. Its totient is φ = 34398432.

The previous prime is 105442033. The next prime is 105442087. The reversal of 105442056 is 650244501.

It is a super-2 number, since 2×1054420562 = 22236054347014272, which contains 22 as substring.

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 11 ways as a sum of consecutive naturals, for example, 12196 + ... + 18963.

It is an arithmetic number, because the mean of its divisors is an integer number (6076200).

Almost surely, 2105442056 is an apocalyptic number.

It is an amenable number.

105442056 is an abundant number, since it is smaller than the sum of its proper divisors (186215544).

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

105442056 is a wasteful number, since it uses less digits than its factorization.

105442056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31218 (or 31211 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 105442056 is about 10268.4982348930. The cubic root of 105442056 is about 472.4305298050.

Adding to 105442056 its reverse (650244501), we get a palindrome (755686557).

The spelling of 105442056 in words is "one hundred five million, four hundred forty-two thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 47 72 94 141 188 282 376 423 564 846 1128 1692 3384 31159 62318 93477 124636 186954 249272 280431 373908 560862 747816 1121724 1464473 2243448 2928946 4393419 5857892 8786838 11715784 13180257 17573676 26360514 35147352 52721028 105442056