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105054344433 = 3211672704937
BaseRepresentation
bin110000111010110111…
…0100001010011110001
3101001011102021122100200
41201311232201103301
53210122403010213
6120132235105413
710406226123363
oct1416556412361
9331142248320
10105054344433
114060a490965
121843a5a2269
139ba29b7cac
14512842ad33
152aecd28273
hex1875ba14f1

105054344433 has 6 divisors (see below), whose sum is σ = 151745164194. Its totient is φ = 70036229616.

The previous prime is 105054344407. The next prime is 105054344443. The reversal of 105054344433 is 334443450501.

105054344433 is a `hidden beast` number, since 105 + 0 + 543 + 4 + 4 + 4 + 3 + 3 = 666.

It can be written as a sum of positive squares in only one way, i.e., 105007106304 + 47238129 = 324048^2 + 6873^2 .

It is not a de Polignac number, because 105054344433 - 25 = 105054344401 is a prime.

It is a super-2 number, since 2×1050543444332 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105054344443) 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 5 ways as a sum of consecutive naturals, for example, 5836352460 + ... + 5836352477.

It is an arithmetic number, because the mean of its divisors is an integer number (25290860699).

Almost surely, 2105054344433 is an apocalyptic number.

It is an amenable number.

105054344433 is a deficient number, since it is larger than the sum of its proper divisors (46690819761).

105054344433 is a wasteful number, since it uses less digits than its factorization.

105054344433 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11672704943 (or 11672704940 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 36.

Adding to 105054344433 its reverse (334443450501), we get a palindrome (439497794934).

The spelling of 105054344433 in words is "one hundred five billion, fifty-four million, three hundred forty-four thousand, four hundred thirty-three".

Divisors: 1 3 9 11672704937 35018114811 105054344433