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105662133 = 3211740237
BaseRepresentation
bin1100100110001…
…00011010110101
321100211012012100
412103010122311
5204022142013
614252412313
72422053603
oct623043265
9240735170
10105662133
1154709585
122b477099
1318b76a95
1410066873
159422473
hex64c46b5

105662133 has 6 divisors (see below), whose sum is σ = 152623094. Its totient is φ = 70441416.

The previous prime is 105662107. The next prime is 105662147. The reversal of 105662133 is 331266501.

105662133 is a `hidden beast` number, since 1 + 0 + 5 + 6 + 621 + 33 = 666.

It can be written as a sum of positive squares in only one way, i.e., 93257649 + 12404484 = 9657^2 + 3522^2 .

It is not a de Polignac number, because 105662133 - 212 = 105658037 is a prime.

It is a super-2 number, since 2×1056621332 = 22328972700219378, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 105662097 and 105662106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105662153) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5870110 + ... + 5870127.

Almost surely, 2105662133 is an apocalyptic number.

It is an amenable number.

105662133 is a deficient number, since it is larger than the sum of its proper divisors (46960961).

105662133 is a wasteful number, since it uses less digits than its factorization.

105662133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11740243 (or 11740240 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 105662133 is about 10279.2087730525. The cubic root of 105662133 is about 472.7589845848.

The spelling of 105662133 in words is "one hundred five million, six hundred sixty-two thousand, one hundred thirty-three".

Divisors: 1 3 9 11740237 35220711 105662133