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106529 = 307347
BaseRepresentation
bin11010000000100001
312102010112
4122000201
511402104
62141105
7622403
oct320041
9172115
10106529
1173045
1251795
1339647
142ab73
152186e
hex1a021

106529 has 4 divisors (see below), whose sum is σ = 107184. Its totient is φ = 105876.

The previous prime is 106501. The next prime is 106531. The reversal of 106529 is 925601.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4, and also a brilliant number, because the two primes have the same length, and also an emirpimes, since its reverse is a distinct semiprime: 925601 = 1396659.

It is a cyclic number.

It is not a de Polignac number, because 106529 - 28 = 106273 is a prime.

It is a super-2 number, since 2×1065292 = 22696855682, which contains 22 as substring.

It is a Duffinian number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 106529.

It is not an unprimeable number, because it can be changed into a prime (106129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 134 + ... + 480.

It is an arithmetic number, because the mean of its divisors is an integer number (26796).

2106529 is an apocalyptic number.

It is an amenable number.

106529 is a deficient number, since it is larger than the sum of its proper divisors (655).

106529 is an equidigital number, since it uses as much as digits as its factorization.

106529 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 654.

The product of its (nonzero) digits is 540, while the sum is 23.

The square root of 106529 is about 326.3878061448. The cubic root of 106529 is about 47.4048325409.

The spelling of 106529 in words is "one hundred six thousand, five hundred twenty-nine".

Divisors: 1 307 347 106529