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105335332 = 22171549049
BaseRepresentation
bin1100100011101…
…00101000100100
321100012120220121
412101310220210
5203431212312
614241411324
72416223044
oct621645044
9240176817
10105335332
1154505aa3
122b339b44
1318a910cb
14ddbd724
1593aa707
hex6474a24

105335332 has 12 divisors (see below), whose sum is σ = 195180300. Its totient is φ = 49569536.

The previous prime is 105335317. The next prime is 105335333. The reversal of 105335332 is 233533501.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 94206436 + 11128896 = 9706^2 + 3336^2 .

It is a super-2 number, since 2×1053353322 = 22191064335100448, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105335297 and 105335306.

It is not an unprimeable number, because it can be changed into a prime (105335333) 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 3 ways as a sum of consecutive naturals, for example, 774457 + ... + 774592.

It is an arithmetic number, because the mean of its divisors is an integer number (16265025).

Almost surely, 2105335332 is an apocalyptic number.

It is an amenable number.

105335332 is a deficient number, since it is larger than the sum of its proper divisors (89844968).

105335332 is a wasteful number, since it uses less digits than its factorization.

105335332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1549070 (or 1549068 counting only the distinct ones).

The product of its (nonzero) digits is 4050, while the sum is 25.

The square root of 105335332 is about 10263.3002489453. The cubic root of 105335332 is about 472.2710845822.

Adding to 105335332 its reverse (233533501), we get a palindrome (338868833).

The spelling of 105335332 in words is "one hundred five million, three hundred thirty-five thousand, three hundred thirty-two".

Divisors: 1 2 4 17 34 68 1549049 3098098 6196196 26333833 52667666 105335332