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105354 = 2331951
BaseRepresentation
bin11001101110001010
312100112000
4121232022
511332404
62131430
7616104
oct315612
9170460
10105354
1172177
1250b76
1338c52
142a574
1521339
hex19b8a

105354 has 16 divisors (see below), whose sum is σ = 234240. Its totient is φ = 35100.

The previous prime is 105341. The next prime is 105359. The reversal of 105354 is 453501.

It is a super-2 number, since 2×1053542 = 22198930632, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (105359) by changing a digit.

105354 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 7 ways as a sum of consecutive naturals, for example, 922 + ... + 1029.

It is an arithmetic number, because the mean of its divisors is an integer number (14640).

2105354 is an apocalyptic number.

105354 is an abundant number, since it is smaller than the sum of its proper divisors (128886).

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

105354 is a wasteful number, since it uses less digits than its factorization.

105354 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1962 (or 1956 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 18.

The square root of 105354 is about 324.5828091566. The cubic root of 105354 is about 47.2298982268.

Adding to 105354 its reverse (453501), we get a palindrome (558855).

The spelling of 105354 in words is "one hundred five thousand, three hundred fifty-four".

Divisors: 1 2 3 6 9 18 27 54 1951 3902 5853 11706 17559 35118 52677 105354