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105885555479 = 111729130714939
BaseRepresentation
bin110001010011101000…
…1010101101100010111
3101010022100100112112222
41202213101111230113
53213323200233404
6120350530532555
710435641241244
oct1424721255427
9333270315488
10105885555479
11409a66aa040
1218630a3715b
139ca5c78152
1451a699c5cb
152b4acb7dbe
hex18a7455b17

105885555479 has 32 divisors (see below), whose sum is σ = 126629049600. Its totient is φ = 87400445440.

The previous prime is 105885555463. The next prime is 105885555481. The reversal of 105885555479 is 974555588501.

It is not a de Polignac number, because 105885555479 - 24 = 105885555463 is a prime.

It is a super-2 number, since 2×1058855554792 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105885555409) 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 31 ways as a sum of consecutive naturals, for example, 7080392 + ... + 7095330.

It is an arithmetic number, because the mean of its divisors is an integer number (3957157800).

Almost surely, 2105885555479 is an apocalyptic number.

105885555479 is a deficient number, since it is larger than the sum of its proper divisors (20743494121).

105885555479 is a wasteful number, since it uses less digits than its factorization.

105885555479 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16303.

The product of its (nonzero) digits is 50400000, while the sum is 62.

The spelling of 105885555479 in words is "one hundred five billion, eight hundred eighty-five million, five hundred fifty-five thousand, four hundred seventy-nine".

Divisors: 1 11 17 29 187 319 493 1307 5423 14377 14939 22219 37903 164329 244409 253963 416933 433231 644351 2793593 4765541 7087861 7364927 19525273 81014197 214778003 331929641 566232917 3651226051 6228562087 9625959589 105885555479