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106344016 = 2418136721
BaseRepresentation
bin1100101011010…
…10111001010000
321102002211120021
412111222321100
5204211002031
614315153224
72430623602
oct625527120
9242084507
10106344016
1155034919
122b745814
131905526c
14101a3172
159509511
hex656ae50

106344016 has 20 divisors (see below), whose sum is σ = 207185524. Its totient is φ = 52876800.

The previous prime is 106343977. The next prime is 106344059. The reversal of 106344016 is 610443601.

It can be written as a sum of positive squares in 2 ways, for example, as 336400 + 106007616 = 580^2 + 10296^2 .

It is a super-2 number, since 2×1063440162 = 22618099478016512, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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, 15465 + ... + 21256.

Almost surely, 2106344016 is an apocalyptic number.

106344016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

106344016 is a deficient number, since it is larger than the sum of its proper divisors (100841508).

106344016 is a wasteful number, since it uses less digits than its factorization.

106344016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36910 (or 36904 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 25.

The square root of 106344016 is about 10312.3235015199. The cubic root of 106344016 is about 473.7737768134.

Adding to 106344016 its reverse (610443601), we get a palindrome (716787617).

The spelling of 106344016 in words is "one hundred six million, three hundred forty-four thousand, sixteen".

Divisors: 1 2 4 8 16 181 362 724 1448 2896 36721 73442 146884 293768 587536 6646501 13293002 26586004 53172008 106344016