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105453031050 = 23252975214637
BaseRepresentation
bin110001000110101111…
…1011000111010001010
3101002012012111000120200
41202031133120322022
53211431433443200
6120240000233030
710422136655133
oct1421537307212
9332165430520
10105453031050
11407a453a034
121853000b776
139c37489833
14516536cc8a
152b22d2c800
hex188d7d8e8a

105453031050 has 144 divisors (see below), whose sum is σ = 286849187352. Its totient is φ = 27771494400.

The previous prime is 105453031001. The next prime is 105453031063. The reversal of 105453031050 is 50130354501.

105453031050 is a `hidden beast` number, since 1 + 0 + 54 + 530 + 31 + 0 + 50 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 23590449 + 105429440601 = 4857^2 + 324699^2 .

It is a super-2 number, since 2×1054530310502 (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 (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 22739332 + ... + 22743968.

Almost surely, 2105453031050 is an apocalyptic number.

105453031050 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 105453031050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143424593676).

105453031050 is an abundant number, since it is smaller than the sum of its proper divisors (181396156302).

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

105453031050 is a wasteful number, since it uses less digits than its factorization.

105453031050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5273 (or 5265 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 27.

Adding to 105453031050 its reverse (50130354501), we get a palindrome (155583385551).

The spelling of 105453031050 in words is "one hundred five billion, four hundred fifty-three million, thirty-one thousand, fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 45 50 75 90 97 150 194 225 291 450 485 521 582 873 970 1042 1455 1563 1746 2425 2605 2910 3126 4365 4637 4689 4850 5210 7275 7815 8730 9274 9378 13025 13911 14550 15630 21825 23185 23445 26050 27822 39075 41733 43650 46370 46890 50537 69555 78150 83466 101074 115925 117225 139110 151611 208665 231850 234450 252685 303222 347775 417330 449789 454833 505370 695550 758055 899578 909666 1043325 1263425 1349367 1516110 2086650 2248945 2274165 2415877 2526850 2698734 3790275 4048101 4497890 4548330 4831754 6746835 7247631 7580550 8096202 11244725 11370825 12079385 13493670 14495262 20240505 21742893 22489450 22741650 24158770 33734175 36238155 40481010 43485786 60396925 67468350 72476310 101202525 108714465 120793850 181190775 202405050 217428930 234340069 362381550 468680138 543572325 703020207 1087144650 1171700345 1406040414 2109060621 2343400690 3515101035 4218121242 5858501725 7030202070 10545303105 11717003450 17575505175 21090606210 35151010350 52726515525 105453031050