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105542682 = 2371926961
BaseRepresentation
bin1100100101001…
…11010000011010
321100121010100020
412102213100122
5204004331212
614250051310
72421045420
oct622472032
9240533306
10105542682
1154637863
122b419b36
1318b345bb
1410035110
1593ebd8c
hex64a741a

105542682 has 48 divisors (see below), whose sum is σ = 254642112. Its totient is φ = 28563840.

The previous prime is 105542669. The next prime is 105542711. The reversal of 105542682 is 286245501.

It is a super-2 number, since 2×1055426822 = 22278515447506248, which contains 22 as substring.

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, 11682 + ... + 18642.

It is an arithmetic number, because the mean of its divisors is an integer number (5305044).

Almost surely, 2105542682 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105542682, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127321056).

105542682 is an abundant number, since it is smaller than the sum of its proper divisors (149099430).

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

105542682 is a wasteful number, since it uses less digits than its factorization.

105542682 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7011 (or 6992 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 33.

The square root of 105542682 is about 10273.3968092350. The cubic root of 105542682 is about 472.5807661269.

The spelling of 105542682 in words is "one hundred five million, five hundred forty-two thousand, six hundred eighty-two".

Divisors: 1 2 3 6 7 14 19 21 38 42 57 114 133 266 361 399 722 798 1083 2166 2527 5054 6961 7581 13922 15162 20883 41766 48727 97454 132259 146181 264518 292362 396777 793554 925813 1851626 2512921 2777439 5025842 5554878 7538763 15077526 17590447 35180894 52771341 105542682