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1085106 = 231141401
BaseRepresentation
bin100001000111010110010
32001010111010
410020322302
5234210411
635131350
712136401
oct4107262
92033433
101085106
11681290
12443b56
132bcb99
14203638
151667a6
hex108eb2

1085106 has 32 divisors (see below), whose sum is σ = 2431296. Its totient is φ = 320000.

The previous prime is 1085101. The next prime is 1085111. The reversal of 1085106 is 6015801.

It is an interprime number because it is at equal distance from previous prime (1085101) and next prime (1085111).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1085101) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2506 + ... + 2906.

It is an arithmetic number, because the mean of its divisors is an integer number (75978).

21085106 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1085106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1215648).

1085106 is an abundant number, since it is smaller than the sum of its proper divisors (1346190).

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

1085106 is a wasteful number, since it uses less digits than its factorization.

1085106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 458.

The product of its (nonzero) digits is 240, while the sum is 21.

The square root of 1085106 is about 1041.6842131856. The cubic root of 1085106 is about 102.7599903855.

The spelling of 1085106 in words is "one million, eighty-five thousand, one hundred six".

Divisors: 1 2 3 6 11 22 33 41 66 82 123 246 401 451 802 902 1203 1353 2406 2706 4411 8822 13233 16441 26466 32882 49323 98646 180851 361702 542553 1085106