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105020034 = 2372357211
BaseRepresentation
bin1100100001001…
…11101010000010
321022121120101220
412100213222002
5203341120114
614230535510
72413440600
oct620475202
9238546356
10105020034
1154310119
122b207596
13189b0742
14dd3a870
1593470a9
hex6427a82

105020034 has 24 divisors (see below), whose sum is σ = 244333008. Its totient is φ = 30005640.

The previous prime is 105020009. The next prime is 105020051. The reversal of 105020034 is 430020501.

It is a super-2 number, since 2×1050200342 = 22058415082722312, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105019995 and 105020022.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 178312 + ... + 178899.

It is an arithmetic number, because the mean of its divisors is an integer number (10180542).

Almost surely, 2105020034 is an apocalyptic number.

105020034 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

105020034 is an abundant number, since it is smaller than the sum of its proper divisors (139312974).

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

105020034 is a wasteful number, since it uses less digits than its factorization.

105020034 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 357230 (or 357223 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 105020034 is about 10247.9282784375. The cubic root of 105020034 is about 471.7994006573.

Adding to 105020034 its reverse (430020501), we get a palindrome (535040535).

The spelling of 105020034 in words is "one hundred five million, twenty thousand, thirty-four".

Divisors: 1 2 3 6 7 14 21 42 49 98 147 294 357211 714422 1071633 2143266 2500477 5000954 7501431 15002862 17503339 35006678 52510017 105020034