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106623 = 3311359
BaseRepresentation
bin11010000001111111
312102021000
4122001333
511402443
62141343
7622566
oct320177
9172230
10106623
1173120
1251853
13396ba
142abdd
15218d3
hex1a07f

106623 has 16 divisors (see below), whose sum is σ = 172800. Its totient is φ = 64440.

The previous prime is 106621. The next prime is 106627. The reversal of 106623 is 326601.

It is a happy number.

106623 is a `hidden beast` number, since 1 + 0 + 662 + 3 = 666.

It is not a de Polignac number, because 106623 - 21 = 106621 is a prime.

It is a super-2 number, since 2×1066232 = 22736928258, which contains 22 as substring.

It is a plaindrome in base 14.

It is a junction number, because it is equal to n+sod(n) for n = 106596 and 106605.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106621) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 118 + ... + 476.

It is an arithmetic number, because the mean of its divisors is an integer number (10800).

2106623 is an apocalyptic number.

106623 is a deficient number, since it is larger than the sum of its proper divisors (66177).

106623 is a wasteful number, since it uses less digits than its factorization.

106623 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 379 (or 373 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 106623 is about 326.5317748704. The cubic root of 106623 is about 47.4187716068.

It can be divided in two parts, 1066 and 23, that added together give a square (1089 = 332).

The spelling of 106623 in words is "one hundred six thousand, six hundred twenty-three".

Divisors: 1 3 9 11 27 33 99 297 359 1077 3231 3949 9693 11847 35541 106623