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105141270 = 235132571049
BaseRepresentation
bin1100100010001…
…01010000010110
321022211201201010
412101011100112
5203404010040
614233313050
72414454213
oct621052026
9238751633
10105141270
1154393213
122b265786
1318a23990
14dd6cb0a
15936ce80
hex6445416

105141270 has 64 divisors (see below), whose sum is σ = 273067200. Its totient is φ = 25755648.

The previous prime is 105141259. The next prime is 105141301. The reversal of 105141270 is 72141501.

It is a happy number.

It is a super-2 number, since 2×1051412702 = 22109373314425800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 99706 + ... + 100754.

It is an arithmetic number, because the mean of its divisors is an integer number (4266675).

Almost surely, 2105141270 is an apocalyptic number.

105141270 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 105141270, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136533600).

105141270 is an abundant number, since it is smaller than the sum of its proper divisors (167925930).

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

105141270 is a wasteful number, since it uses less digits than its factorization.

105141270 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1329.

The product of its (nonzero) digits is 280, while the sum is 21.

The square root of 105141270 is about 10253.8417190827. The cubic root of 105141270 is about 471.9808805575.

Adding to 105141270 its reverse (72141501), we get a palindrome (177282771).

The spelling of 105141270 in words is "one hundred five million, one hundred forty-one thousand, two hundred seventy".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 65 78 130 195 257 390 514 771 1049 1285 1542 2098 2570 3147 3341 3855 5245 6294 6682 7710 10023 10490 13637 15735 16705 20046 27274 31470 33410 40911 50115 68185 81822 100230 136370 204555 269593 409110 539186 808779 1347965 1617558 2695930 3504709 4043895 7009418 8087790 10514127 17523545 21028254 35047090 52570635 105141270