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105404314332 = 22331436589417
BaseRepresentation
bin110001000101010010…
…1100011001011011100
3101002001210210221210210
41202022211203023130
53211332001024312
6120231100132420
710421005613652
oct1421245431334
9332053727723
10105404314332
1140779a95489
1218517837110
139c2a360585
14515cacadd2
152b1d907e3c
hex188a9632dc

105404314332 has 48 divisors (see below), whose sum is σ = 259781215232. Its totient is φ = 33210656640.

The previous prime is 105404314273. The next prime is 105404314381. The reversal of 105404314332 is 233413404501.

It is a super-2 number, since 2×1054043143322 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105404314332.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 3278713 + ... + 3310704.

Almost surely, 2105404314332 is an apocalyptic number.

105404314332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

105404314332 is an abundant number, since it is smaller than the sum of its proper divisors (154376900900).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

105404314332 is a wasteful number, since it uses less digits than its factorization.

105404314332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6589498 (or 6589496 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

Adding to 105404314332 its reverse (233413404501), we get a palindrome (338817718833).

The spelling of 105404314332 in words is "one hundred five billion, four hundred four million, three hundred fourteen thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 12 31 43 62 86 93 124 129 172 186 258 372 516 1333 2666 3999 5332 7998 15996 6589417 13178834 19768251 26357668 39536502 79073004 204271927 283344931 408543854 566689862 612815781 817087708 850034793 1133379724 1225631562 1700069586 2451263124 3400139172 8783692861 17567385722 26351078583 35134771444 52702157166 105404314332