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105344244525 = 3521328311183
BaseRepresentation
bin110001000011100000…
…0011001101100101101
3101001220121210002112010
41202013000121230231
53211221111311100
6120221112431433
710416346206222
oct1420700315455
9331817702463
10105344244525
1140749097113
12184bb6a8579
139c1aa8a900
145154b31949
152b184de750
hex1887019b2d

105344244525 has 36 divisors (see below), whose sum is σ = 188597387328. Its totient is φ = 51861775680.

The previous prime is 105344244487. The next prime is 105344244527. The reversal of 105344244525 is 525442443501.

It is not a de Polignac number, because 105344244525 - 214 = 105344228141 is a prime.

It is a super-3 number, since 3×1053442445253 (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105344244527) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4142917 + ... + 4168266.

Almost surely, 2105344244525 is an apocalyptic number.

105344244525 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

105344244525 is a deficient number, since it is larger than the sum of its proper divisors (83253142803).

105344244525 is a wasteful number, since it uses less digits than its factorization.

105344244525 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8311222 (or 8311204 counting only the distinct ones).

The product of its (nonzero) digits is 384000, while the sum is 39.

The spelling of 105344244525 in words is "one hundred five billion, three hundred forty-four million, two hundred forty-four thousand, five hundred twenty-five".

Divisors: 1 3 5 13 15 25 39 65 75 169 195 325 507 845 975 2535 4225 12675 8311183 24933549 41555915 108045379 124667745 207779575 324136137 540226895 623338725 1404589927 1620680685 2701134475 4213769781 7022949635 8103403425 21068848905 35114748175 105344244525