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106444 = 22132389
BaseRepresentation
bin11001111111001100
312102000101
4121333030
511401234
62140444
7622222
oct317714
9172011
10106444
1172a78
1251724
13395b0
142ab12
1521814
hex19fcc

106444 has 24 divisors (see below), whose sum is σ = 211680. Its totient is φ = 46464.

The previous prime is 106441. The next prime is 106451. The reversal of 106444 is 444601.

It is a super-2 number, since 2×1064442 = 22660650272, which contains 22 as substring.

It is a nialpdrome in base 7.

It is a zygodrome in base 2.

It is not an unprimeable number, because it can be changed into a prime (106441) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 1152 + ... + 1240.

It is an arithmetic number, because the mean of its divisors is an integer number (8820).

2106444 is an apocalyptic number.

It is an amenable number.

106444 is a deficient number, since it is larger than the sum of its proper divisors (105236).

106444 is a wasteful number, since it uses less digits than its factorization.

106444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

The square root of 106444 is about 326.2575669621. The cubic root of 106444 is about 47.3922210050.

It can be divided in two parts, 10644 and 4, that added together give a cube (10648 = 223).

The spelling of 106444 in words is "one hundred six thousand, four hundred forty-four".

Divisors: 1 2 4 13 23 26 46 52 89 92 178 299 356 598 1157 1196 2047 2314 4094 4628 8188 26611 53222 106444