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106054968684 = 22372612956813
BaseRepresentation
bin110001011000101011…
…1100110010101101100
3101010202011010121210010
41202301113212111230
53214200032444214
6120415422013220
710443066234300
oct1426127462554
9333664117703
10106054968684
1140a832a0755
1218679717210
13a0020b3352
1451c129bd00
152b5aace659
hex18b15e656c

106054968684 has 72 divisors (see below), whose sum is σ = 292582658928. Its totient is φ = 29804664960.

The previous prime is 106054968667. The next prime is 106054968697. The reversal of 106054968684 is 486869450601.

It is a super-2 number, since 2×1060549686842 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1442539 + ... + 1514274.

Almost surely, 2106054968684 is an apocalyptic number.

106054968684 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

106054968684 is an abundant number, since it is smaller than the sum of its proper divisors (186527690244).

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

106054968684 is a wasteful number, since it uses less digits than its factorization.

106054968684 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2956895 (or 2956886 counting only the distinct ones).

The product of its (nonzero) digits is 9953280, while the sum is 57.

The spelling of 106054968684 in words is "one hundred six billion, fifty-four million, nine hundred sixty-eight thousand, six hundred eighty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 61 84 98 122 147 183 196 244 294 366 427 588 732 854 1281 1708 2562 2989 5124 5978 8967 11956 17934 35868 2956813 5913626 8870439 11827252 17740878 20697691 35481756 41395382 62093073 82790764 124186146 144883837 180365593 248372292 289767674 360731186 434651511 541096779 579535348 721462372 869303022 1082193558 1262559151 1738606044 2164387116 2525118302 3787677453 5050236604 7575354906 8837914057 15150709812 17675828114 26513742171 35351656228 53027484342 106054968684