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105366611406 = 2372857878099
BaseRepresentation
bin110001000100001010…
…1101110010111001110
3101001222011212110010010
41202020111232113032
53211242323031111
6120223232054050
710420040263620
oct1421025562716
9331864773103
10105366611406
114075a783741
1218507094326
139c225bc454
145157ab4c10
152b1a45baa6
hex188856e5ce

105366611406 has 32 divisors (see below), whose sum is σ = 240922540800. Its totient is φ = 30094174656.

The previous prime is 105366611401. The next prime is 105366611417. The reversal of 105366611406 is 604116663501.

It is a super-2 number, since 2×1053666114062 (a number of 23 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105366611401) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 319056 + ... + 559043.

It is an arithmetic number, because the mean of its divisors is an integer number (7528829400).

Almost surely, 2105366611406 is an apocalyptic number.

105366611406 is an abundant number, since it is smaller than the sum of its proper divisors (135555929394).

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

105366611406 is a wasteful number, since it uses less digits than its factorization.

105366611406 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 880968.

The product of its (nonzero) digits is 77760, while the sum is 39.

The spelling of 105366611406 in words is "one hundred five billion, three hundred sixty-six million, six hundred eleven thousand, four hundred six".

Divisors: 1 2 3 6 7 14 21 42 2857 5714 8571 17142 19999 39998 59997 119994 878099 1756198 2634297 5268594 6146693 12293386 18440079 36880158 2508728843 5017457686 7526186529 15052373058 17561101901 35122203802 52683305703 105366611406