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106736305 = 5133744381
BaseRepresentation
bin1100101110010…
…10101010110001
321102211202200111
412113022222301
5204311030210
614331421321
72434146364
oct627125261
9242752614
10106736305
1155282625
122b8b4841
13191619a0
14102660db
15958588a
hex65caab1

106736305 has 16 divisors (see below), whose sum is σ = 141667344. Its totient is φ = 76688640.

The previous prime is 106736303. The next prime is 106736309. The reversal of 106736305 is 503637601.

It can be written as a sum of positive squares in 8 ways, for example, as 913936 + 105822369 = 956^2 + 10287^2 .

It is not a de Polignac number, because 106736305 - 21 = 106736303 is a prime.

It is a super-2 number, since 2×1067363052 = 22785277610106050, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106736303) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19786 + ... + 24595.

It is an arithmetic number, because the mean of its divisors is an integer number (8854209).

Almost surely, 2106736305 is an apocalyptic number.

It is an amenable number.

106736305 is a deficient number, since it is larger than the sum of its proper divisors (34931039).

106736305 is a wasteful number, since it uses less digits than its factorization.

106736305 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44436.

The product of its (nonzero) digits is 11340, while the sum is 31.

The square root of 106736305 is about 10331.3263911271. The cubic root of 106736305 is about 474.3556248643.

The spelling of 106736305 in words is "one hundred six million, seven hundred thirty-six thousand, three hundred five".

Divisors: 1 5 13 37 65 185 481 2405 44381 221905 576953 1642097 2884765 8210485 21347261 106736305