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105434140 = 22572925969
BaseRepresentation
bin1100100100011…
…00110000011100
321100101121110011
412102030300130
5203442343030
614243453004
72420114110
oct622146034
9240347404
10105434140
1154573259
122b387164
1318ac7086
1410007740
1593c9b2a
hex648cc1c

105434140 has 48 divisors (see below), whose sum is σ = 261777600. Its totient is φ = 34900992.

The previous prime is 105434107. The next prime is 105434149. The reversal of 105434140 is 41434501.

It is a super-2 number, since 2×1054341402 = 22232715755079200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105434149) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 8925 + ... + 17044.

It is an arithmetic number, because the mean of its divisors is an integer number (5453700).

Almost surely, 2105434140 is an apocalyptic number.

105434140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105434140 is an abundant number, since it is smaller than the sum of its proper divisors (156343460).

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

105434140 is a wasteful number, since it uses less digits than its factorization.

105434140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26014 (or 26012 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

The square root of 105434140 is about 10268.1127769420. The cubic root of 105434140 is about 472.4187070282.

Adding to 105434140 its reverse (41434501), we get a palindrome (146868641).

The spelling of 105434140 in words is "one hundred five million, four hundred thirty-four thousand, one hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 29 35 58 70 116 140 145 203 290 406 580 812 1015 2030 4060 25969 51938 103876 129845 181783 259690 363566 519380 727132 753101 908915 1506202 1817830 3012404 3635660 3765505 5271707 7531010 10543414 15062020 21086828 26358535 52717070 105434140