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106531344 = 24325912539
BaseRepresentation
bin1100101100110…
…00101000010000
321102110100112100
412112120220100
5204233000334
614323200400
72432334003
oct626305020
9242410470
10106531344
1155152637
122b816100
13190bc5ca
141021153a
159544c99
hex6598a10

106531344 has 60 divisors (see below), whose sum is σ = 303217200. Its totient is φ = 34905792.

The previous prime is 106531343. The next prime is 106531349. The reversal of 106531344 is 443135601.

106531344 is a `hidden beast` number, since 1 + 0 + 653 + 1 + 3 + 4 + 4 = 666.

It is a super-2 number, since 2×1065313442 = 22697854508892672, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106531343) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2227 + ... + 14765.

It is an arithmetic number, because the mean of its divisors is an integer number (5053620).

Almost surely, 2106531344 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 106531344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151608600).

106531344 is an abundant number, since it is smaller than the sum of its proper divisors (196685856).

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

106531344 is a wasteful number, since it uses less digits than its factorization.

106531344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12612 (or 12603 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 106531344 is about 10321.4022303174. The cubic root of 106531344 is about 474.0518022752.

Adding to 106531344 its reverse (443135601), we get a palindrome (549666945).

The spelling of 106531344 in words is "one hundred six million, five hundred thirty-one thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 59 72 118 144 177 236 354 472 531 708 944 1062 1416 2124 2832 4248 8496 12539 25078 37617 50156 75234 100312 112851 150468 200624 225702 300936 451404 601872 739801 902808 1479602 1805616 2219403 2959204 4438806 5918408 6658209 8877612 11836816 13316418 17755224 26632836 35510448 53265672 106531344