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105487340315 = 5736726333119
BaseRepresentation
bin110001000111110001…
…0010001001100011011
3101002021121001010001012
41202033202101030123
53212014224342230
6120243223444135
710423034412140
oct1421742211433
9332247033035
10105487340315
11408119430a5
121853b5b664b
139c41610086
145169b403c7
152b25d58395
hex188f89131b

105487340315 has 32 divisors (see below), whose sum is σ = 145164165120. Its totient is φ = 72086563584.

The previous prime is 105487340303. The next prime is 105487340347. The reversal of 105487340315 is 513043784501.

It is a de Polignac number, because none of the positive numbers 2k-105487340315 is a prime.

It is a super-2 number, since 2×1054873403152 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

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 in 31 ways as a sum of consecutive naturals, for example, 33819326 + ... + 33822444.

It is an arithmetic number, because the mean of its divisors is an integer number (4536380160).

Almost surely, 2105487340315 is an apocalyptic number.

105487340315 is a deficient number, since it is larger than the sum of its proper divisors (39676824805).

105487340315 is a wasteful number, since it uses less digits than its factorization.

105487340315 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6131.

The product of its (nonzero) digits is 201600, while the sum is 41.

The spelling of 105487340315 in words is "one hundred five billion, four hundred eighty-seven million, three hundred forty thousand, three hundred fifteen".

Divisors: 1 5 7 35 367 1835 2569 2633 3119 12845 13165 15595 18431 21833 92155 109165 966311 1144673 4831555 5723365 6764177 8012711 8212327 33820885 40063555 41061635 57486289 287431445 3013924009 15069620045 21097468063 105487340315