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105106444 = 22176472389
BaseRepresentation
bin1100100001111…
…00110000001100
321022202221221021
412100330300030
5203401401234
614232443524
72414250532
oct620746014
9238687837
10105106444
115436a033
122b2495a4
1318a10b81
14dd60152
1593629b4
hex643cc0c

105106444 has 24 divisors (see below), whose sum is σ = 195138720. Its totient is φ = 49364736.

The previous prime is 105106433. The next prime is 105106447. The reversal of 105106444 is 444601501.

It is a super-2 number, since 2×1051064442 = 22094729140650272, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105106447) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 42802 + ... + 45190.

It is an arithmetic number, because the mean of its divisors is an integer number (8130780).

Almost surely, 2105106444 is an apocalyptic number.

It is an amenable number.

105106444 is a deficient number, since it is larger than the sum of its proper divisors (90032276).

105106444 is a wasteful number, since it uses less digits than its factorization.

105106444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3057 (or 3055 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

The square root of 105106444 is about 10252.1433856536. The cubic root of 105106444 is about 471.9287633083.

Adding to 105106444 its reverse (444601501), we get a palindrome (549707945).

The spelling of 105106444 in words is "one hundred five million, one hundred six thousand, four hundred forty-four".

Divisors: 1 2 4 17 34 68 647 1294 2389 2588 4778 9556 10999 21998 40613 43996 81226 162452 1545683 3091366 6182732 26276611 52553222 105106444