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105411100450 = 25241149433797
BaseRepresentation
bin110001000101011111…
…1011011111100100010
3101002002021120201121111
41202022333123330202
53211340220203300
6120231501413534
710421120366365
oct1421277337442
9332067521544
10105411100450
11407828aaa47
1218519b6a2aa
139c2b898326
14515d9760dc
152b1e2e89ba
hex188afdbf22

105411100450 has 96 divisors (see below), whose sum is σ = 202915918800. Its totient is φ = 40714444800.

The previous prime is 105411100441. The next prime is 105411100481. The reversal of 105411100450 is 54001114501.

It is a happy number.

It can be written as a sum of positive squares in 24 ways, for example, as 61733862369 + 43677238081 = 248463^2 + 208991^2 .

It is a super-2 number, since 2×1054111004502 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 132259452 + ... + 132260248.

Almost surely, 2105411100450 is an apocalyptic number.

105411100450 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

105411100450 is a deficient number, since it is larger than the sum of its proper divisors (97504818350).

105411100450 is a wasteful number, since it uses less digits than its factorization.

105411100450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1432 (or 1427 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 22.

Adding to 105411100450 its reverse (54001114501), we get a palindrome (159412214951).

The spelling of 105411100450 in words is "one hundred five billion, four hundred eleven million, one hundred thousand, four hundred fifty".

Divisors: 1 2 5 10 25 41 50 82 149 205 298 410 433 745 797 866 1025 1490 1594 2050 2165 3725 3985 4330 6109 7450 7970 10825 12218 17753 19925 21650 30545 32677 35506 39850 61090 64517 65354 88765 118753 129034 152725 163385 177530 237506 305450 322585 326770 345101 443825 593765 645170 690202 816925 887650 1187530 1612925 1633850 1725505 2645197 2968825 3225850 3451010 4868873 5290394 5937650 8627525 9737746 13225985 14149141 17255050 24344365 26451970 28298282 48688730 51420049 66129925 70745705 102840098 121721825 132259850 141491410 243443650 257100245 353728525 514200490 707457050 1285501225 2108222009 2571002450 4216444018 10541110045 21082220090 52705550225 105411100450