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106054619886 = 23237416163671
BaseRepresentation
bin110001011000101011…
…0010001001011101110
3101010202010110220022200
41202301112101023232
53214144440314021
6120415410322330
710443063252345
oct1426126211356
9333663426280
10106054619886
1140a83082696
12186795893a6
13a001cc0667
1451c120ab5c
152b5aa61126
hex18b15912ee

106054619886 has 96 divisors (see below), whose sum is σ = 245718398016. Its totient is φ = 33006528000.

The previous prime is 106054619863. The next prime is 106054619893. The reversal of 106054619886 is 688916450601.

106054619886 is a `hidden beast` number, since 1 + 0 + 6 + 0 + 546 + 1 + 98 + 8 + 6 = 666.

It is a super-2 number, since 2×1060546198862 (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 47 ways as a sum of consecutive naturals, for example, 1633831 + ... + 1697501.

It is an arithmetic number, because the mean of its divisors is an integer number (2559566646).

Almost surely, 2106054619886 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106054619886, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122859199008).

106054619886 is an abundant number, since it is smaller than the sum of its proper divisors (139663778130).

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

106054619886 is a wasteful number, since it uses less digits than its factorization.

106054619886 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63818 (or 63815 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 54.

The spelling of 106054619886 in words is "one hundred six billion, fifty-four million, six hundred nineteen thousand, eight hundred eighty-six".

Divisors: 1 2 3 6 9 18 37 41 61 74 82 111 122 123 183 222 246 333 366 369 549 666 738 1098 1517 2257 2501 3034 4514 4551 5002 6771 7503 9102 13542 13653 15006 20313 22509 27306 40626 45018 63671 92537 127342 185074 191013 277611 382026 555222 573039 832833 1146078 1665666 2355827 2610511 3883931 4711654 5221022 7067481 7767862 7831533 11651793 14134962 15663066 21202443 23303586 23494599 34955379 42404886 46989198 69910758 96588907 143705447 159241171 193177814 287410894 289766721 318482342 431116341 477723513 579533442 862232682 869300163 955447026 1293349023 1433170539 1738600326 2586698046 2866341078 5891923327 11783846654 17675769981 35351539962 53027309943 106054619886