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106396 = 2267397
BaseRepresentation
bin11001111110011100
312101221121
4121332130
511401041
62140324
7622123
oct317634
9171847
10106396
1172a34
12516a4
1339574
142aaba
15217d1
hex19f9c

106396 has 12 divisors (see below), whose sum is σ = 189448. Its totient is φ = 52272.

The previous prime is 106391. The next prime is 106397. The reversal of 106396 is 693601.

It is a super-2 number, since 2×1063962 = 22640217632, which contains 22 as substring.

It is an Ulam number.

It is a zygodrome in base 2.

It is a self number, because there is not a number n which added to its sum of digits gives 106396.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106391) by changing a digit.

106396 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 3 ways as a sum of consecutive naturals, for example, 70 + ... + 466.

2106396 is an apocalyptic number.

It is an amenable number.

106396 is a deficient number, since it is larger than the sum of its proper divisors (83052).

106396 is a wasteful number, since it uses less digits than its factorization.

106396 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 468 (or 466 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 25.

The square root of 106396 is about 326.1839971550. The cubic root of 106396 is about 47.3850962301.

Adding to 106396 its reverse (693601), we get a palindrome (799997).

The spelling of 106396 in words is "one hundred six thousand, three hundred ninety-six".

Divisors: 1 2 4 67 134 268 397 794 1588 26599 53198 106396