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106264 = 2337359
BaseRepresentation
bin11001111100011000
312101202201
4121330120
511400024
62135544
7621544
oct317430
9171681
10106264
1172924
12515b4
13394a2
142aa24
1521744
hex19f18

106264 has 16 divisors (see below), whose sum is σ = 205200. Its totient is φ = 51552.

The previous prime is 106261. The next prime is 106273. The reversal of 106264 is 462601.

It is a super-2 number, since 2×1062642 = 22584075392, which contains 22 as substring.

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 (106261) 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, 117 + ... + 475.

It is an arithmetic number, because the mean of its divisors is an integer number (12825).

2106264 is an apocalyptic number.

It is an amenable number.

106264 is a deficient number, since it is larger than the sum of its proper divisors (98936).

106264 is a wasteful number, since it uses less digits than its factorization.

106264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 402 (or 398 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 106264 is about 325.9815945725. The cubic root of 106264 is about 47.3654920433.

Adding to 106264 its reverse (462601), we get a palindrome (568865).

The spelling of 106264 in words is "one hundred six thousand, two hundred sixty-four".

Divisors: 1 2 4 8 37 74 148 296 359 718 1436 2872 13283 26566 53132 106264