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105344510455 = 51011583131777
BaseRepresentation
bin110001000011100000…
…1011010100111110111
3101001220122021121022101
41202013001122213313
53211221143313310
6120221122242531
710416351364432
oct1420701324767
9331818247271
10105344510455
1140749258998
12184bb7b6447
139c1ab51972
145154ba0819
152b1854343a
hex188705a9f7

105344510455 has 16 divisors (see below), whose sum is σ = 127746647424. Its totient is φ = 83387852800.

The previous prime is 105344510449. The next prime is 105344510471. The reversal of 105344510455 is 554015443501.

It is a de Polignac number, because none of the positive numbers 2k-105344510455 is a prime.

It is a super-2 number, since 2×1053445104552 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 733527 + ... + 865303.

It is an arithmetic number, because the mean of its divisors is an integer number (7984165464).

Almost surely, 2105344510455 is an apocalyptic number.

105344510455 is a deficient number, since it is larger than the sum of its proper divisors (22402136969).

105344510455 is a wasteful number, since it uses less digits than its factorization.

105344510455 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133466.

The product of its (nonzero) digits is 120000, while the sum is 37.

Adding to 105344510455 its reverse (554015443501), we get a palindrome (659359953956).

The spelling of 105344510455 in words is "one hundred five billion, three hundred forty-four million, five hundred ten thousand, four hundred fifty-five".

Divisors: 1 5 101 505 1583 7915 131777 159883 658885 799415 13309477 66547385 208602991 1043014955 21068902091 105344510455