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106972 = 2247569
BaseRepresentation
bin11010000111011100
312102201221
4122013130
511410342
62143124
7623605
oct320734
9172657
10106972
1173408
1251aa4
13398c8
142adac
1521a67
hex1a1dc

106972 has 12 divisors (see below), whose sum is σ = 191520. Its totient is φ = 52256.

The previous prime is 106963. The next prime is 106979. The reversal of 106972 is 279601.

It is a super-2 number, since 2×1069722 = 22886017568, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106979) by changing a digit.

106972 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 97 + ... + 472.

It is an arithmetic number, because the mean of its divisors is an integer number (15960).

2106972 is an apocalyptic number.

It is an amenable number.

106972 is a deficient number, since it is larger than the sum of its proper divisors (84548).

106972 is a wasteful number, since it uses less digits than its factorization.

106972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 620 (or 618 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 25.

The square root of 106972 is about 327.0657426268. The cubic root of 106972 is about 47.4704525379.

The spelling of 106972 in words is "one hundred six thousand, nine hundred seventy-two".

Divisors: 1 2 4 47 94 188 569 1138 2276 26743 53486 106972