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105343061456 = 2489307240967
BaseRepresentation
bin110001000011011101…
…1111000110111010000
3101001220112112222122202
41202012323320313100
53211220310431311
6120221031222332
710416333151103
oct1420673706720
9331815488582
10105343061456
1140748459276
12184bb2179a8
139c1a765279
14515490473a
152b18358e3b
hex1886ef8dd0

105343061456 has 40 divisors (see below), whose sum is σ = 207068621760. Its totient is φ = 51909859584.

The previous prime is 105343061443. The next prime is 105343061459. The reversal of 105343061456 is 654160343501.

It is a super-2 number, since 2×1053430614562 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105343061459) 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 7 ways as a sum of consecutive naturals, for example, 316685 + ... + 557651.

It is an arithmetic number, because the mean of its divisors is an integer number (5176715544).

Almost surely, 2105343061456 is an apocalyptic number.

105343061456 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

105343061456 is a deficient number, since it is larger than the sum of its proper divisors (101725560304).

105343061456 is a wasteful number, since it uses less digits than its factorization.

105343061456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241371 (or 241365 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 38.

The spelling of 105343061456 in words is "one hundred five billion, three hundred forty-three million, sixty-one thousand, four hundred fifty-six".

Divisors: 1 2 4 8 16 89 178 307 356 614 712 1228 1424 2456 4912 27323 54646 109292 218584 240967 437168 481934 963868 1927736 3855472 21446063 42892126 73976869 85784252 147953738 171568504 295907476 343137008 591814952 1183629904 6583941341 13167882682 26335765364 52671530728 105343061456