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106293 = 3113221
BaseRepresentation
bin11001111100110101
312101210210
4121330311
511400133
62140033
7621615
oct317465
9171723
10106293
1172950
1251619
13394c5
142aa45
1521763
hex19f35

106293 has 8 divisors (see below), whose sum is σ = 154656. Its totient is φ = 64400.

The previous prime is 106291. The next prime is 106297. The reversal of 106293 is 392601.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 106293 - 21 = 106291 is a prime.

It is a super-2 number, since 2×1062932 = 22596403698, which contains 22 as substring.

It is a Curzon number.

106293 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106291) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1578 + ... + 1643.

It is an arithmetic number, because the mean of its divisors is an integer number (19332).

2106293 is an apocalyptic number.

It is an amenable number.

106293 is a deficient number, since it is larger than the sum of its proper divisors (48363).

106293 is a wasteful number, since it uses less digits than its factorization.

106293 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3235.

The product of its (nonzero) digits is 324, while the sum is 21.

The square root of 106293 is about 326.0260725770. The cubic root of 106293 is about 47.3698004147.

Adding to 106293 its reverse (392601), we get a palindrome (498894).

The spelling of 106293 in words is "one hundred six thousand, two hundred ninety-three".

Divisors: 1 3 11 33 3221 9663 35431 106293