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105068826 = 235375843
BaseRepresentation
bin1100100001100…
…11100100011010
321022201001100000
412100303210122
5203344200301
614231553430
72414033052
oct620634432
9238631300
10105068826
1154343845
122b22b876
13189c9a05
14dd50562
159356786
hex643391a

105068826 has 48 divisors (see below), whose sum is σ = 242502624. Its totient is φ = 34070544.

The previous prime is 105068819. The next prime is 105068833. The reversal of 105068826 is 628860501.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (105068819) and next prime (105068833).

It is a super-2 number, since 2×1050688262 = 22078916394036552, 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, 15061 + ... + 20903.

It is an arithmetic number, because the mean of its divisors is an integer number (5052138).

Almost surely, 2105068826 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105068826, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121251312).

105068826 is an abundant number, since it is smaller than the sum of its proper divisors (137433798).

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

105068826 is an equidigital number, since it uses as much as digits as its factorization.

105068826 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5897 (or 5885 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 105068826 is about 10250.3085807209. The cubic root of 105068826 is about 471.8724548844.

The spelling of 105068826 in words is "one hundred five million, sixty-eight thousand, eight hundred twenty-six".

Divisors: 1 2 3 6 9 18 27 37 54 74 81 111 162 222 243 333 486 666 999 1998 2997 5843 5994 8991 11686 17529 17982 35058 52587 105174 157761 216191 315522 432382 473283 648573 946566 1297146 1419849 1945719 2839698 3891438 5837157 11674314 17511471 35022942 52534413 105068826