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105026238 = 232171512273
BaseRepresentation
bin1100100001010…
…01001010111110
321022121212220200
412100221022332
5203341314423
614231024330
72413464642
oct620511276
9238555820
10105026238
1154314849
122b20b0a6
13189b3505
14dd3cc22
159348d43
hex64292be

105026238 has 48 divisors (see below), whose sum is σ = 242644896. Its totient is φ = 32716800.

The previous prime is 105026227. The next prime is 105026263. The reversal of 105026238 is 832620501.

It is a super-2 number, since 2×1050262382 = 22061021336865288, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 45070 + ... + 47342.

It is an arithmetic number, because the mean of its divisors is an integer number (5055102).

Almost surely, 2105026238 is an apocalyptic number.

105026238 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 105026238, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121322448).

105026238 is an abundant number, since it is smaller than the sum of its proper divisors (137618658).

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

105026238 is a wasteful number, since it uses less digits than its factorization.

105026238 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2449 (or 2446 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 105026238 is about 10248.2309692942. The cubic root of 105026238 is about 471.8086909033.

Adding to 105026238 its reverse (832620501), we get a palindrome (937646739).

The spelling of 105026238 in words is "one hundred five million, twenty-six thousand, two hundred thirty-eight".

Divisors: 1 2 3 6 9 17 18 34 51 102 151 153 302 306 453 906 1359 2273 2567 2718 4546 5134 6819 7701 13638 15402 20457 23103 38641 40914 46206 77282 115923 231846 343223 347769 686446 695538 1029669 2059338 3089007 5834791 6178014 11669582 17504373 35008746 52513119 105026238