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106805344 = 257874241
BaseRepresentation
bin1100101110110…
…11100001100000
321102222021101111
412113123201200
5204320232334
614333113104
72434554562
oct627334140
9242867344
10106805344
115531a488
122b928794
1319187239
1410283332
15959b064
hex65db860

106805344 has 24 divisors (see below), whose sum is σ = 210589848. Its totient is φ = 53322240.

The previous prime is 106805341. The next prime is 106805357. The reversal of 106805344 is 443508601.

It is a happy number.

It is a super-2 number, since 2×1068053442 = 22814763013916672, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106805341) 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 3 ways as a sum of consecutive naturals, for example, 23064 + ... + 27304.

It is an arithmetic number, because the mean of its divisors is an integer number (8774577).

Almost surely, 2106805344 is an apocalyptic number.

It is an amenable number.

106805344 is a deficient number, since it is larger than the sum of its proper divisors (103784504).

106805344 is an equidigital number, since it uses as much as digits as its factorization.

106805344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5038 (or 5030 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 31.

The square root of 106805344 is about 10334.6670967187. The cubic root of 106805344 is about 474.4578767945.

The spelling of 106805344 in words is "one hundred six million, eight hundred five thousand, three hundred forty-four".

Divisors: 1 2 4 8 16 32 787 1574 3148 4241 6296 8482 12592 16964 25184 33928 67856 135712 3337667 6675334 13350668 26701336 53402672 106805344