Search a number
-
+
105320943 = 32721318371
BaseRepresentation
bin1100100011100…
…01000111101111
321100011212011200
412101301013233
5203430232233
614241220543
72416133100
oct621610757
9240155150
10105320943
11544a6202
122b331753
1318a876b0
14ddb83a7
1593a6313
hex64711ef

105320943 has 36 divisors (see below), whose sum is σ = 190591128. Its totient is φ = 55550880.

The previous prime is 105320939. The next prime is 105320947. The reversal of 105320943 is 349023501.

It is an interprime number because it is at equal distance from previous prime (105320939) and next prime (105320947).

It is not a de Polignac number, because 105320943 - 22 = 105320939 is a prime.

It is a super-2 number, since 2×1053209432 = 22185002068818498, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105320947) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3453 + ... + 14918.

It is an arithmetic number, because the mean of its divisors is an integer number (5294198).

Almost surely, 2105320943 is an apocalyptic number.

105320943 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

105320943 is a deficient number, since it is larger than the sum of its proper divisors (85270185).

105320943 is a wasteful number, since it uses less digits than its factorization.

105320943 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18404 (or 18394 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 105320943 is about 10262.5992321634. The cubic root of 105320943 is about 472.2495792368.

The spelling of 105320943 in words is "one hundred five million, three hundred twenty thousand, nine hundred forty-three".

Divisors: 1 3 7 9 13 21 39 49 63 91 117 147 273 441 637 819 1911 5733 18371 55113 128597 165339 238823 385791 716469 900179 1157373 1671761 2149407 2700537 5015283 8101611 11702327 15045849 35106981 105320943