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105124422 = 23132432411
BaseRepresentation
bin1100100010000…
…01001001000110
321022210212121010
412101001021012
5203402440142
614233103050
72414354124
oct621011106
9238725533
10105124422
1154381597
122b257a86
1318a19100
14dd66914
159367e9c
hex6441246

105124422 has 48 divisors (see below), whose sum is σ = 233057088. Its totient is φ = 31580640.

The previous prime is 105124403. The next prime is 105124427. The reversal of 105124422 is 224421501.

It is a super-2 number, since 2×1051244222 = 22102288201668168, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105124427) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 42397 + ... + 44807.

It is an arithmetic number, because the mean of its divisors is an integer number (4855356).

Almost surely, 2105124422 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105124422, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116528544).

105124422 is an abundant number, since it is smaller than the sum of its proper divisors (127932666).

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

105124422 is a wasteful number, since it uses less digits than its factorization.

105124422 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2485 (or 2472 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 21.

The square root of 105124422 is about 10253.0201404269. The cubic root of 105124422 is about 471.9556688950.

Adding to 105124422 its reverse (224421501), we get a palindrome (329545923).

The spelling of 105124422 in words is "one hundred five million, one hundred twenty-four thousand, four hundred twenty-two".

Divisors: 1 2 3 6 13 26 39 43 78 86 129 169 258 338 507 559 1014 1118 1677 2411 3354 4822 7233 7267 14466 14534 21801 31343 43602 62686 94029 103673 188058 207346 311019 407459 622038 814918 1222377 1347749 2444754 2695498 4043247 8086494 17520737 35041474 52562211 105124422