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106356523 = 7139712049
BaseRepresentation
bin1100101011011…
…01111100101011
321102010110201111
412111231330223
5204211402043
614315331151
72431005220
oct625557453
9242113644
10106356523
1155043259
122b750ab7
131905ab70
14101a7947
15950d09d
hex656df2b

106356523 has 16 divisors (see below), whose sum is σ = 132260800. Its totient is φ = 83275776.

The previous prime is 106356521. The next prime is 106356529. The reversal of 106356523 is 325653601.

It is a cyclic number.

It is not a de Polignac number, because 106356523 - 21 = 106356521 is a prime.

It is a super-2 number, since 2×1063565232 = 22623419969299058, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106356521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2803 + ... + 14851.

It is an arithmetic number, because the mean of its divisors is an integer number (8266300).

Almost surely, 2106356523 is an apocalyptic number.

106356523 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

106356523 is a deficient number, since it is larger than the sum of its proper divisors (25904277).

106356523 is a wasteful number, since it uses less digits than its factorization.

106356523 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12166.

The product of its (nonzero) digits is 16200, while the sum is 31.

The square root of 106356523 is about 10312.9298940699. The cubic root of 106356523 is about 473.7923494188.

The spelling of 106356523 in words is "one hundred six million, three hundred fifty-six thousand, five hundred twenty-three".

Divisors: 1 7 13 91 97 679 1261 8827 12049 84343 156637 1096459 1168753 8181271 15193789 106356523