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105406343141 = 1125752977039
BaseRepresentation
bin110001000101010110…
…1010010011111100101
3101002001221122000210212
41202022231102133211
53211333010440031
6120231211425205
710421032063601
oct1421255223745
9332057560725
10105406343141
1140780150790
1218518455205
139c2a8c0b58
14515d098501
152b1dba912b
hex188ab527e5

105406343141 has 16 divisors (see below), whose sum is σ = 115474360320. Its totient is φ = 95419514880.

The previous prime is 105406343137. The next prime is 105406343153. The reversal of 105406343141 is 141343604501.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 105406343141 - 22 = 105406343137 is a prime.

It is a super-2 number, since 2×1054063431412 (a number of 23 digits) contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 105406343098 and 105406343107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105406343101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14971100 + ... + 14978138.

It is an arithmetic number, because the mean of its divisors is an integer number (7217147520).

Almost surely, 2105406343141 is an apocalyptic number.

105406343141 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

105406343141 is a deficient number, since it is larger than the sum of its proper divisors (10068017179).

105406343141 is a wasteful number, since it uses less digits than its factorization.

105406343141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12604.

The product of its (nonzero) digits is 17280, while the sum is 32.

Adding to 105406343141 its reverse (141343604501), we get a palindrome (246749947642).

The spelling of 105406343141 in words is "one hundred five billion, four hundred six million, three hundred forty-three thousand, one hundred forty-one".

Divisors: 1 11 257 2827 5297 7039 58267 77429 1361329 1809023 14974619 19899253 37285583 410141413 9582394831 105406343141