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105140140 = 2257751001
BaseRepresentation
bin1100100010001…
…00111110101100
321022211200011021
412101010332230
5203403441030
614233303524
72414451010
oct621047654
9238750137
10105140140
1154392386
122b264ba4
1318a23301
14dd6c540
15936c97a
hex6444fac

105140140 has 24 divisors (see below), whose sum is σ = 252336672. Its totient is φ = 36048000.

The previous prime is 105140111. The next prime is 105140173. The reversal of 105140140 is 41041501.

It is a super-2 number, since 2×1051401402 = 22108898078439200, which contains 22 as substring.

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 7 ways as a sum of consecutive naturals, for example, 375361 + ... + 375640.

It is an arithmetic number, because the mean of its divisors is an integer number (10514028).

Almost surely, 2105140140 is an apocalyptic number.

105140140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105140140 is an abundant number, since it is smaller than the sum of its proper divisors (147196532).

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

105140140 is a wasteful number, since it uses less digits than its factorization.

105140140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 751017 (or 751015 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 16.

The square root of 105140140 is about 10253.7866176355. The cubic root of 105140140 is about 471.9791896886.

Adding to 105140140 its reverse (41041501), we get a palindrome (146181641).

The spelling of 105140140 in words is "one hundred five million, one hundred forty thousand, one hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 751001 1502002 3004004 3755005 5257007 7510010 10514014 15020020 21028028 26285035 52570070 105140140