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106359 = 3112293
BaseRepresentation
bin11001111101110111
312101220020
4121331313
511400414
62140223
7622041
oct317567
9171806
10106359
1172a00
1251673
1339546
142aa91
15217a9
hex19f77

106359 has 12 divisors (see below), whose sum is σ = 156408. Its totient is φ = 64240.

The previous prime is 106357. The next prime is 106363. The reversal of 106359 is 953601.

It is not a de Polignac number, because 106359 - 21 = 106357 is a prime.

It is a super-2 number, since 2×1063592 = 22624473762, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106357) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 217 + ... + 509.

It is an arithmetic number, because the mean of its divisors is an integer number (13034).

2106359 is an apocalyptic number.

106359 is a deficient number, since it is larger than the sum of its proper divisors (50049).

106359 is a wasteful number, since it uses less digits than its factorization.

106359 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 318 (or 307 counting only the distinct ones).

The product of its (nonzero) digits is 810, while the sum is 24.

The square root of 106359 is about 326.1272757682. The cubic root of 106359 is about 47.3796027534.

It can be divided in two parts, 106 and 359, that added together give a triangular number (465 = T30).

The spelling of 106359 in words is "one hundred six thousand, three hundred fifty-nine".

Divisors: 1 3 11 33 121 293 363 879 3223 9669 35453 106359