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106506 = 2326197
BaseRepresentation
bin11010000000001010
312102002200
4122000022
511402011
62141030
7622341
oct320012
9172080
10106506
1173024
1251776
133962a
142ab58
1521856
hex1a00a

106506 has 24 divisors (see below), whose sum is σ = 236964. Its totient is φ = 34560.

The previous prime is 106501. The next prime is 106531. The reversal of 106506 is 605601.

106506 is a `hidden beast` number, since 10 + 650 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 95481 + 11025 = 309^2 + 105^2 .

It is a super-2 number, since 2×1065062 = 22687056072, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 106506.

It is not an unprimeable number, because it can be changed into a prime (106501) 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 11 ways as a sum of consecutive naturals, for example, 1050 + ... + 1146.

2106506 is an apocalyptic number.

106506 is an abundant number, since it is smaller than the sum of its proper divisors (130458).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

106506 is a wasteful number, since it uses less digits than its factorization.

106506 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 106506 is about 326.3525700833. The cubic root of 106506 is about 47.4014206699.

The spelling of 106506 in words is "one hundred six thousand, five hundred six".

Divisors: 1 2 3 6 9 18 61 97 122 183 194 291 366 549 582 873 1098 1746 5917 11834 17751 35502 53253 106506