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105243040 = 255793967
BaseRepresentation
bin1100100010111…
…10000110100000
321100000220022101
412101132012200
5203420234130
614235420144
72415360010
oct621360640
9240026271
10105243040
1154452721
122b2b4654
1318a5b0b6
14dd97c40
15938d1ca
hex645e1a0

105243040 has 48 divisors (see below), whose sum is σ = 284159232. Its totient is φ = 36082944.

The previous prime is 105243029. The next prime is 105243041. The reversal of 105243040 is 40342501.

It is a super-2 number, since 2×1052430402 = 22152194936883200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105242999 and 105243017.

It is not an unprimeable number, because it can be changed into a prime (105243041) 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 7 ways as a sum of consecutive naturals, for example, 45864 + ... + 48103.

It is an arithmetic number, because the mean of its divisors is an integer number (5919984).

Almost surely, 2105243040 is an apocalyptic number.

105243040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105243040 is an abundant number, since it is smaller than the sum of its proper divisors (178916192).

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

105243040 is an equidigital number, since it uses as much as digits as its factorization.

105243040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93989 (or 93981 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 19.

The square root of 105243040 is about 10258.8030490891. The cubic root of 105243040 is about 472.1331138489.

Adding to 105243040 its reverse (40342501), we get a palindrome (145585541).

The spelling of 105243040 in words is "one hundred five million, two hundred forty-three thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 70 80 112 140 160 224 280 560 1120 93967 187934 375868 469835 657769 751736 939670 1315538 1503472 1879340 2631076 3006944 3288845 3758680 5262152 6577690 7517360 10524304 13155380 15034720 21048608 26310760 52621520 105243040