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106944 = 263557
BaseRepresentation
bin11010000111000000
312102200220
4122013000
511410234
62143040
7623535
oct320700
9172626
10106944
1173392
1251a80
13398a6
142ad8c
1521a49
hex1a1c0

106944 has 28 divisors (see below), whose sum is σ = 283464. Its totient is φ = 35584.

The previous prime is 106937. The next prime is 106949. The reversal of 106944 is 449601.

It is a super-2 number, since 2×1069442 = 22874038272, which contains 22 as substring.

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

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 106944.

It is not an unprimeable number, because it can be changed into a prime (106949) 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, 87 + ... + 470.

2106944 is an apocalyptic number.

It is an amenable number.

106944 is an abundant number, since it is smaller than the sum of its proper divisors (176520).

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

106944 is an equidigital number, since it uses as much as digits as its factorization.

106944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 572 (or 562 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 106944 is about 327.0229349755. The cubic root of 106944 is about 47.4663103678.

The spelling of 106944 in words is "one hundred six thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 557 1114 1671 2228 3342 4456 6684 8912 13368 17824 26736 35648 53472 106944