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105345101144 = 2313168137643
BaseRepresentation
bin110001000011100001…
…1101010110101011000
3101001220200101121120202
41202013003222311120
53211221321214034
6120221143041332
710416356404523
oct1420703526530
9331820347522
10105345101144
1140749621768
12184bba40248
139c1acca79a
145154cb5bba
152b1860d47e
hex18870ead58

105345101144 has 8 divisors (see below), whose sum is σ = 197522064660. Its totient is φ = 52672550568.

The previous prime is 105345101143. The next prime is 105345101153. The reversal of 105345101144 is 441101543501.

It is a tau number, because it is divible by the number of its divisors (8).

It is a super-2 number, since 2×1053451011442 (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 (105345101143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6584068814 + ... + 6584068829.

Almost surely, 2105345101144 is an apocalyptic number.

It is an amenable number.

105345101144 is a deficient number, since it is larger than the sum of its proper divisors (92176963516).

105345101144 is a wasteful number, since it uses less digits than its factorization.

105345101144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13168137649 (or 13168137645 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 29.

Adding to 105345101144 its reverse (441101543501), we get a palindrome (546446644645).

The spelling of 105345101144 in words is "one hundred five billion, three hundred forty-five million, one hundred one thousand, one hundred forty-four".

Divisors: 1 2 4 8 13168137643 26336275286 52672550572 105345101144