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105049973 = 722143877
BaseRepresentation
bin1100100001011…
…10111101110101
321022200002110202
412100232331311
5203343044343
614231330245
72413624100
oct620567565
9238602422
10105049973
1154330666
122b220985
13189c1262
14dd47737
159350db8
hex642ef75

105049973 has 6 divisors (see below), whose sum is σ = 122201046. Its totient is φ = 90042792.

The previous prime is 105049951. The next prime is 105049981. The reversal of 105049973 is 379940501.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 76073284 + 28976689 = 8722^2 + 5383^2 .

It is not a de Polignac number, because 105049973 - 210 = 105048949 is a prime.

It is a super-2 number, since 2×1050499732 = 22070993654601458, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105049573) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1071890 + ... + 1071987.

It is an arithmetic number, because the mean of its divisors is an integer number (20366841).

Almost surely, 2105049973 is an apocalyptic number.

It is an amenable number.

105049973 is a deficient number, since it is larger than the sum of its proper divisors (17151073).

105049973 is an equidigital number, since it uses as much as digits as its factorization.

105049973 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2143891 (or 2143884 counting only the distinct ones).

The product of its (nonzero) digits is 34020, while the sum is 38.

The square root of 105049973 is about 10249.3889086130. The cubic root of 105049973 is about 471.8442297553.

The spelling of 105049973 in words is "one hundred five million, forty-nine thousand, nine hundred seventy-three".

Divisors: 1 7 49 2143877 15007139 105049973