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105355621206 = 232113117164487
BaseRepresentation
bin110001000011110101…
…1110011001101010110
3101001221102012002101200
41202013223303031112
53211232014334311
6120222200333330
710416545001333
oct1420753631526
9331842162350
10105355621206
1140754557630
1218503474246
139c20241c84
14515645398a
152b194da556
hex1887af3356

105355621206 has 48 divisors (see below), whose sum is σ = 257055372288. Its totient is φ = 30896074800.

The previous prime is 105355621193. The next prime is 105355621247. The reversal of 105355621206 is 602126553501.

105355621206 is a `hidden beast` number, since 1 + 0 + 5 + 3 + 5 + 5 + 621 + 20 + 6 = 666.

It is a super-2 number, since 2×1053556212062 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8576106 + ... + 8588381.

It is an arithmetic number, because the mean of its divisors is an integer number (5355320256).

Almost surely, 2105355621206 is an apocalyptic number.

105355621206 is an abundant number, since it is smaller than the sum of its proper divisors (151699751082).

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

105355621206 is a wasteful number, since it uses less digits than its factorization.

105355621206 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17164537 (or 17164534 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 36.

The spelling of 105355621206 in words is "one hundred five billion, three hundred fifty-five million, six hundred twenty-one thousand, two hundred six".

Divisors: 1 2 3 6 9 11 18 22 31 33 62 66 93 99 186 198 279 341 558 682 1023 2046 3069 6138 17164487 34328974 51493461 102986922 154480383 188809357 308960766 377618714 532099097 566428071 1064198194 1132856142 1596297291 1699284213 3192594582 3398568426 4788891873 5853090067 9577783746 11706180134 17559270201 35118540402 52677810603 105355621206