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105552 = 2432733
BaseRepresentation
bin11001110001010000
312100210100
4121301100
511334202
62132400
7616506
oct316120
9170710
10105552
1172337
1251100
1339075
142a676
152141c
hex19c50

105552 has 30 divisors (see below), whose sum is σ = 295802. Its totient is φ = 35136.

The previous prime is 105541. The next prime is 105557. The reversal of 105552 is 255501.

It can be written as a sum of positive squares in only one way, i.e., 104976 + 576 = 324^2 + 24^2 .

It is a super-2 number, since 2×1055522 = 22282449408, which contains 22 as substring.

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

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

It is a nialpdrome in base 12.

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 105552.

It is not an unprimeable number, because it can be changed into a prime (105557) by changing a digit.

105552 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 223 + ... + 510.

2105552 is an apocalyptic number.

105552 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

105552 is an abundant number, since it is smaller than the sum of its proper divisors (190250).

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

105552 is a wasteful number, since it uses less digits than its factorization.

105552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 747 (or 738 counting only the distinct ones).

The product of its (nonzero) digits is 250, while the sum is 18.

The square root of 105552 is about 324.8876728963. The cubic root of 105552 is about 47.2594673227.

Adding to 105552 its sum of digits (18), we get a triangular number (105570 = T459).

The spelling of 105552 in words is "one hundred five thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 733 1466 2199 2932 4398 5864 6597 8796 11728 13194 17592 26388 35184 52776 105552