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106244424 = 2332111317607
BaseRepresentation
bin1100101010100…
…10100101001000
321101220202221200
412111102211020
5204144310144
614313104200
72430030336
oct625224510
9241822850
10106244424
1154a77010
122b6b8060
131901bb30
1410178b56
1594d9c69
hex6552948

106244424 has 192 divisors, whose sum is σ = 358525440. Its totient is φ = 27924480.

The previous prime is 106244423. The next prime is 106244449. The reversal of 106244424 is 424442601.

It is a happy number.

106244424 is a `hidden beast` number, since 10 + 624 + 4 + 4 + 24 = 666.

It is a super-2 number, since 2×1062444242 = 22575755262183552, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106244423) 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 47 ways as a sum of consecutive naturals, for example, 174729 + ... + 175335.

It is an arithmetic number, because the mean of its divisors is an integer number (1867320).

Almost surely, 2106244424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106244424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179262720).

106244424 is an abundant number, since it is smaller than the sum of its proper divisors (252281016).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

106244424 is a wasteful number, since it uses less digits than its factorization.

106244424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 660 (or 653 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

The square root of 106244424 is about 10307.4935847664. The cubic root of 106244424 is about 473.6258330085.

The spelling of 106244424 in words is "one hundred six million, two hundred forty-four thousand, four hundred twenty-four".