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106296 = 23343103
BaseRepresentation
bin11001111100111000
312101210220
4121330320
511400141
62140040
7621621
oct317470
9171726
10106296
1172953
1251620
13394c8
142aa48
1521766
hex19f38

106296 has 32 divisors (see below), whose sum is σ = 274560. Its totient is φ = 34272.

The previous prime is 106291. The next prime is 106297. The reversal of 106296 is 692601.

106296 = T159 + T160 + ... + T166.

It is a super-2 number, since 2×1062962 = 22597679232, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a zygodrome in base 2.

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 polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 981 + ... + 1083.

It is an arithmetic number, because the mean of its divisors is an integer number (8580).

2106296 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137280).

106296 is an abundant number, since it is smaller than the sum of its proper divisors (168264).

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

106296 is a wasteful number, since it uses less digits than its factorization.

106296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 24.

The square root of 106296 is about 326.0306734036. The cubic root of 106296 is about 47.3702460635.

Adding to 106296 its reverse (692601), we get a palindrome (798897).

The spelling of 106296 in words is "one hundred six thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 24 43 86 103 129 172 206 258 309 344 412 516 618 824 1032 1236 2472 4429 8858 13287 17716 26574 35432 53148 106296