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105043380 = 223513137983
BaseRepresentation
bin1100100001011…
…01010110110100
321022122202102120
412100231112310
5203342342010
614231235540
72413565631
oct620552664
9238582376
10105043380
1154326712
122b218bb0
13189bb260
14dd45188
15934de70
hex642d5b4

105043380 has 96 divisors (see below), whose sum is σ = 319382784. Its totient is φ = 25641984.

The previous prime is 105043373. The next prime is 105043387. The reversal of 105043380 is 83340501.

It is an interprime number because it is at equal distance from previous prime (105043373) and next prime (105043387).

It is a super-2 number, since 2×1050433802 = 22068223363648800, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105043380.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105043387) 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 31 ways as a sum of consecutive naturals, for example, 106369 + ... + 107351.

It is an arithmetic number, because the mean of its divisors is an integer number (3326904).

Almost surely, 2105043380 is an apocalyptic number.

105043380 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105043380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159691392).

105043380 is an abundant number, since it is smaller than the sum of its proper divisors (214339404).

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

105043380 is a wasteful number, since it uses less digits than its factorization.

105043380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1145 (or 1143 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 105043380 is about 10249.0672746353. The cubic root of 105043380 is about 471.8343584722.

Adding to 105043380 its reverse (83340501), we get a palindrome (188383881).

The spelling of 105043380 in words is "one hundred five million, forty-three thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 137 156 195 260 274 390 411 548 685 780 822 983 1370 1644 1781 1966 2055 2740 2949 3562 3932 4110 4915 5343 5898 7124 8220 8905 9830 10686 11796 12779 14745 17810 19660 21372 25558 26715 29490 35620 38337 51116 53430 58980 63895 76674 106860 127790 134671 153348 191685 255580 269342 383370 404013 538684 673355 766740 808026 1346710 1616052 1750723 2020065 2693420 3501446 4040130 5252169 7002892 8080260 8753615 10504338 17507230 21008676 26260845 35014460 52521690 105043380