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105345140 = 2255267257
BaseRepresentation
bin1100100011101…
…11000001110100
321100020002100212
412101313001310
5203432021030
614241524552
72416263455
oct621670164
9240202325
10105345140
11545123aa
122b343758
1318a95704
14ddc312c
1593ad595
hex6477074

105345140 has 12 divisors (see below), whose sum is σ = 221224836. Its totient is φ = 42138048.

The previous prime is 105345133. The next prime is 105345151. The reversal of 105345140 is 41543501.

It can be written as a sum of positive squares in 2 ways, for example, as 11874916 + 93470224 = 3446^2 + 9668^2 .

It is a super-2 number, since 2×1053451402 = 22195197043239200, 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 3 ways as a sum of consecutive naturals, for example, 2633609 + ... + 2633648.

It is an arithmetic number, because the mean of its divisors is an integer number (18435403).

Almost surely, 2105345140 is an apocalyptic number.

105345140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105345140 is an abundant number, since it is smaller than the sum of its proper divisors (115879696).

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

105345140 is a wasteful number, since it uses less digits than its factorization.

105345140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5267266 (or 5267264 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 23.

The square root of 105345140 is about 10263.7780568366. The cubic root of 105345140 is about 472.2857421871.

Adding to 105345140 its reverse (41543501), we get a palindrome (146888641).

The spelling of 105345140 in words is "one hundred five million, three hundred forty-five thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 5267257 10534514 21069028 26336285 52672570 105345140