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109106284 = 22719673061
BaseRepresentation
bin1101000000011…
…01010001101100
321121022011200111
412200031101230
5210412400114
614454305404
72463250060
oct640152154
9247264614
10109106284
1156651191
1230658264
13197b1641
14106c1aa0
1598a2bc4
hex680d46c

109106284 has 48 divisors (see below), whose sum is σ = 233201920. Its totient is φ = 43623360.

The previous prime is 109106269. The next prime is 109106297. The reversal of 109106284 is 482601901.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34114 + ... + 37174.

Almost surely, 2109106284 is an apocalyptic number.

109106284 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 109106284, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116600960).

109106284 is an abundant number, since it is smaller than the sum of its proper divisors (124095636).

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

109106284 is a wasteful number, since it uses less digits than its factorization.

109106284 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3158 (or 3156 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 31.

The square root of 109106284 is about 10445.3953491479. The cubic root of 109106284 is about 477.8408286399.

The spelling of 109106284 in words is "one hundred nine million, one hundred six thousand, two hundred eighty-four".

Divisors: 1 2 4 7 14 19 28 38 67 76 133 134 266 268 469 532 938 1273 1876 2546 3061 5092 6122 8911 12244 17822 21427 35644 42854 58159 85708 116318 205087 232636 407113 410174 814226 820348 1435609 1628452 2871218 3896653 5742436 7793306 15586612 27276571 54553142 109106284