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106510044063045 = 35729152692290829
BaseRepresentation
bin11000001101111011001101…
…010101110110010101000101
3111222010021001002202001200110
4120031323031111312111011
5102430030032240004140
61014310012212103233
731302045116514540
oct3015731525662505
9458107032661613
10106510044063045
1130a34724187277
12bb4243a304b19
134757b1449ac7c
141c43183b77857
15c4a88604e380
hex60decd576545

106510044063045 has 64 divisors (see below), whose sum is σ = 201490410816000. Its totient is φ = 47008230398976.

The previous prime is 106510044062951. The next prime is 106510044063089. The reversal of 106510044063045 is 540360440015601.

It is not a de Polignac number, because 106510044063045 - 215 = 106510044030277 is a prime.

It is a super-2 number, since 2×1065100440630452 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106510044062994 and 106510044063012.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 45348691 + ... + 47639519.

It is an arithmetic number, because the mean of its divisors is an integer number (3148287669000).

Almost surely, 2106510044063045 is an apocalyptic number.

106510044063045 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

106510044063045 is a deficient number, since it is larger than the sum of its proper divisors (94980366752955).

106510044063045 is a wasteful number, since it uses less digits than its factorization.

106510044063045 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2306142.

The product of its (nonzero) digits is 172800, while the sum is 39.

Adding to 106510044063045 its reverse (540360440015601), we get a palindrome (646870484078646).

The spelling of 106510044063045 in words is "one hundred six trillion, five hundred ten billion, forty-four million, sixty-three thousand, forty-five".

Divisors: 1 3 5 7 15 21 29 35 87 105 145 203 435 609 1015 3045 15269 45807 76345 106883 229035 320649 442801 534415 1328403 1603245 2214005 2290829 3099607 6642015 6872487 9298821 11454145 15498035 16035803 34362435 46494105 48107409 66434041 80179015 199302123 240537045 332170205 465038287 996510615 1395114861 2325191435 6975574305 34978668001 104936004003 174893340005 244850676007 524680020015 734552028021 1014381372029 1224253380035 3043144116087 3672760140105 5071906860145 7100669604203 15215720580435 21302008812609 35503348021015 106510044063045