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106289514 = 23231239797
BaseRepresentation
bin1100101010111…
…01100101101010
321102000001210200
412111131211222
5204202231024
614314053030
72430305652
oct625354552
9242001720
10106289514
1154aa7981
122b71a176
1319036506
141018b362
1594e82c9
hex655d96a

106289514 has 48 divisors (see below), whose sum is σ = 239016960. Its totient is φ = 34100640.

The previous prime is 106289473. The next prime is 106289531. The reversal of 106289514 is 415982601.

106289514 is a `hidden beast` number, since 1 + 0 + 62 + 89 + 514 = 666.

It is a super-2 number, since 2×1062895142 = 22594921572712392, 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, 132964 + ... + 133760.

It is an arithmetic number, because the mean of its divisors is an integer number (4979520).

Almost surely, 2106289514 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106289514, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119508480).

106289514 is an abundant number, since it is smaller than the sum of its proper divisors (132727446).

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

106289514 is a wasteful number, since it uses less digits than its factorization.

106289514 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1075 (or 1072 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 106289514 is about 10309.6805964103. The cubic root of 106289514 is about 473.6928256016.

The spelling of 106289514 in words is "one hundred six million, two hundred eighty-nine thousand, five hundred fourteen".

Divisors: 1 2 3 6 9 18 31 62 93 186 239 279 478 558 717 797 1434 1594 2151 2391 4302 4782 7173 7409 14346 14818 22227 24707 44454 49414 66681 74121 133362 148242 190483 222363 380966 444726 571449 1142898 1714347 3428694 5904973 11809946 17714919 35429838 53144757 106289514