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105942114 = 23341109439
BaseRepresentation
bin1100101000010…
…00110001100010
321101100102021000
412110020301202
5204110121424
614302412430
72424331065
oct624106142
9241312230
10105942114
115488a973
122b591116
1318c44355
14100da8dc
15947a3c9
hex6508c62

105942114 has 64 divisors (see below), whose sum is σ = 243936000. Its totient is φ = 34058880.

The previous prime is 105942107. The next prime is 105942127. The reversal of 105942114 is 411249501.

It is a super-2 number, since 2×1059421142 = 22447463037577992, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 241107 + ... + 241545.

It is an arithmetic number, because the mean of its divisors is an integer number (3811500).

Almost surely, 2105942114 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105942114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121968000).

105942114 is an abundant number, since it is smaller than the sum of its proper divisors (137993886).

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

105942114 is a wasteful number, since it uses less digits than its factorization.

105942114 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 600 (or 594 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 105942114 is about 10292.8185644166. The cubic root of 105942114 is about 473.1761847998.

The spelling of 105942114 in words is "one hundred five million, nine hundred forty-two thousand, one hundred fourteen".

Divisors: 1 2 3 6 9 18 27 41 54 82 109 123 218 246 327 369 439 654 738 878 981 1107 1317 1962 2214 2634 2943 3951 4469 5886 7902 8938 11853 13407 17999 23706 26814 35998 40221 47851 53997 80442 95702 107994 120663 143553 161991 241326 287106 323982 430659 485973 861318 971946 1291977 1961891 2583954 3923782 5885673 11771346 17657019 35314038 52971057 105942114