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105944 = 23171941
BaseRepresentation
bin11001110111011000
312101022212
4121313120
511342234
62134252
7620606
oct316730
9171285
10105944
1172663
1251388
13392b7
142a876
15215ce
hex19dd8

105944 has 32 divisors (see below), whose sum is σ = 226800. Its totient is φ = 46080.

The previous prime is 105943. The next prime is 105953. The reversal of 105944 is 449501.

It is a happy number.

It is a super-2 number, since 2×1059442 = 22448262272, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105943) 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, 2564 + ... + 2604.

2105944 is an apocalyptic number.

It is an amenable number.

105944 is an abundant number, since it is smaller than the sum of its proper divisors (120856).

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

105944 is a wasteful number, since it uses less digits than its factorization.

105944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 23.

The square root of 105944 is about 325.4903992440. The cubic root of 105944 is about 47.3178992638.

The spelling of 105944 in words is "one hundred five thousand, nine hundred forty-four".

Divisors: 1 2 4 8 17 19 34 38 41 68 76 82 136 152 164 323 328 646 697 779 1292 1394 1558 2584 2788 3116 5576 6232 13243 26486 52972 105944