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106127076 = 223115913627
BaseRepresentation
bin1100101001101…
…01111011100100
321101200210222110
412110311323210
5204132031301
614310401020
72426031246
oct624657344
9241623873
10106127076
11549a6930
122b660170
1318caa5b3
1410148096
1594b50d6
hex6535ee4

106127076 has 48 divisors (see below), whose sum is σ = 274740480. Its totient is φ = 31612320.

The previous prime is 106127059. The next prime is 106127101. The reversal of 106127076 is 670721601.

It is a happy number.

It is a super-2 number, since 2×1061270762 = 22525912520619552, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 975 + ... + 14601.

It is an arithmetic number, because the mean of its divisors is an integer number (5723760).

Almost surely, 2106127076 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106127076, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137370240).

106127076 is an abundant number, since it is smaller than the sum of its proper divisors (168613404).

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

106127076 is a wasteful number, since it uses less digits than its factorization.

106127076 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13704 (or 13702 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 30.

The square root of 106127076 is about 10301.7996486051. The cubic root of 106127076 is about 473.4513939893.

Adding to 106127076 its reverse (670721601), we get a palindrome (776848677).

The spelling of 106127076 in words is "one hundred six million, one hundred twenty-seven thousand, seventy-six".

Divisors: 1 2 3 4 6 11 12 22 33 44 59 66 118 132 177 236 354 649 708 1298 1947 2596 3894 7788 13627 27254 40881 54508 81762 149897 163524 299794 449691 599588 803993 899382 1607986 1798764 2411979 3215972 4823958 8843923 9647916 17687846 26531769 35375692 53063538 106127076