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105354443025 = 32521336018613
BaseRepresentation
bin110001000011110011…
…1010011100100010001
3101001221022222020020100
41202013213103210101
53211231214134100
6120222115203013
710416531663366
oct1420747234421
9331838866210
10105354443025
1140753922427
1218502ba6469
139c1cc1b920
14515622846d
152b19356400
hex18879d3911

105354443025 has 36 divisors (see below), whose sum is σ = 203217020188. Its totient is φ = 51866801280.

The previous prime is 105354442979. The next prime is 105354443027. The reversal of 105354443025 is 520344453501.

105354443025 is a `hidden beast` number, since 1 + 0 + 53 + 544 + 43 + 0 + 25 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 13903239744 + 91451203281 = 117912^2 + 302409^2 .

It is not a de Polignac number, because 105354443025 - 28 = 105354442769 is a prime.

It is a super-2 number, since 2×1053544430252 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105354443027) 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 in 35 ways as a sum of consecutive naturals, for example, 18006382 + ... + 18012231.

Almost surely, 2105354443025 is an apocalyptic number.

105354443025 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

105354443025 is a deficient number, since it is larger than the sum of its proper divisors (97862577163).

105354443025 is a wasteful number, since it uses less digits than its factorization.

105354443025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36018642 (or 36018634 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 36.

Adding to 105354443025 its reverse (520344453501), we get a palindrome (625698896526).

The spelling of 105354443025 in words is "one hundred five billion, three hundred fifty-four million, four hundred forty-three thousand, twenty-five".

Divisors: 1 3 5 9 13 15 25 39 45 65 75 117 195 225 325 585 975 2925 36018613 108055839 180093065 324167517 468241969 540279195 900465325 1404725907 1620837585 2341209845 2701395975 4214177721 7023629535 8104187925 11706049225 21070888605 35118147675 105354443025