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106133 = 211503
BaseRepresentation
bin11001111010010101
312101120212
4121322111
511344013
62135205
7621266
oct317225
9171525
10106133
1172815
1251505
1339401
142a96d
15216a8
hex19e95

106133 has 4 divisors (see below), whose sum is σ = 106848. Its totient is φ = 105420.

The previous prime is 106129. The next prime is 106163. The reversal of 106133 is 331601.

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: 331601 = 2231487.

It is a cyclic number.

It is not a de Polignac number, because 106133 - 22 = 106129 is a prime.

It is a super-2 number, since 2×1061332 = 22528427378, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106103) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 41 + ... + 462.

It is an arithmetic number, because the mean of its divisors is an integer number (26712).

2106133 is an apocalyptic number.

It is an amenable number.

106133 is a deficient number, since it is larger than the sum of its proper divisors (715).

106133 is an equidigital number, since it uses as much as digits as its factorization.

106133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 714.

The product of its (nonzero) digits is 54, while the sum is 14.

The square root of 106133 is about 325.7806010185. The cubic root of 106133 is about 47.3460203158.

Adding to 106133 its reverse (331601), we get a palindrome (437734).

The spelling of 106133 in words is "one hundred six thousand, one hundred thirty-three".

Divisors: 1 211 503 106133