Search a number
-
+
105322104 = 23321462807
BaseRepresentation
bin1100100011100…
…01011001111000
321100011220202200
412101301121320
5203430301404
614241230200
72416136346
oct621613170
9240156680
10105322104
11544a7068
122b332360
1318a88094
14ddb8996
1593a6839
hex6471678

105322104 has 24 divisors (see below), whose sum is σ = 285247560. Its totient is φ = 35107344.

The previous prime is 105322081. The next prime is 105322109. The reversal of 105322104 is 401223501.

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-2 number, since 2×1053221042 = 22185491181973632, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105322109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 731332 + ... + 731475.

It is an arithmetic number, because the mean of its divisors is an integer number (11885315).

Almost surely, 2105322104 is an apocalyptic number.

It is an amenable number.

105322104 is an abundant number, since it is smaller than the sum of its proper divisors (179925456).

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

105322104 is a wasteful number, since it uses less digits than its factorization.

105322104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1462819 (or 1462812 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 105322104 is about 10262.6557966250. The cubic root of 105322104 is about 472.2513145035.

Adding to 105322104 its reverse (401223501), we get a palindrome (506545605).

The spelling of 105322104 in words is "one hundred five million, three hundred twenty-two thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 1462807 2925614 4388421 5851228 8776842 11702456 13165263 17553684 26330526 35107368 52661052 105322104