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106149249 = 3211794361
BaseRepresentation
bin1100101001110…
…11010110000001
321101201221101200
412110323112001
5204133233444
614311051413
72426153013
oct624732601
9241657350
10106149249
1154a11558
122b670b69
1318cb770b
14101521b3
1594bb969
hex653b581

106149249 has 6 divisors (see below), whose sum is σ = 153326706. Its totient is φ = 70766160.

The previous prime is 106149233. The next prime is 106149259. The reversal of 106149249 is 942941601.

It is a happy number.

106149249 is a `hidden beast` number, since 10 + 614 + 9 + 24 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 72590400 + 33558849 = 8520^2 + 5793^2 .

It is not a de Polignac number, because 106149249 - 24 = 106149233 is a prime.

It is a super-2 number, since 2×1061492492 = 22535326126528002, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106149229) 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, 5897172 + ... + 5897189.

It is an arithmetic number, because the mean of its divisors is an integer number (25554451).

Almost surely, 2106149249 is an apocalyptic number.

It is an amenable number.

106149249 is a deficient number, since it is larger than the sum of its proper divisors (47177457).

106149249 is a wasteful number, since it uses less digits than its factorization.

106149249 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11794367 (or 11794364 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 106149249 is about 10302.8757635914. The cubic root of 106149249 is about 473.4843642332.

The spelling of 106149249 in words is "one hundred six million, one hundred forty-nine thousand, two hundred forty-nine".

Divisors: 1 3 9 11794361 35383083 106149249