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106759134 = 236371979
BaseRepresentation
bin1100101110100…
…00001111011110
321102212221000000
412113100033132
5204312243014
614332115130
72434303056
oct627201736
9242787000
10106759134
1155298799
122b905aa6
131916c1b1
1410270566
15958c509
hex65d03de

106759134 has 56 divisors (see below), whose sum is σ = 246711960. Its totient is φ = 34607088.

The previous prime is 106759117. The next prime is 106759139. The reversal of 106759134 is 431957601.

106759134 is a `hidden beast` number, since 1 + 0 + 67 + 591 + 3 + 4 = 666.

It is a super-2 number, since 2×1067591342 = 22795025384859912, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106759139) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 52957 + ... + 54935.

Almost surely, 2106759134 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106759134, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123355980).

106759134 is an abundant number, since it is smaller than the sum of its proper divisors (139952826).

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

106759134 is an equidigital number, since it uses as much as digits as its factorization.

106759134 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2036 (or 2021 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 106759134 is about 10332.4311756721. The cubic root of 106759134 is about 474.3894412014.

The spelling of 106759134 in words is "one hundred six million, seven hundred fifty-nine thousand, one hundred thirty-four".

Divisors: 1 2 3 6 9 18 27 37 54 74 81 111 162 222 243 333 486 666 729 999 1458 1979 1998 2997 3958 5937 5994 8991 11874 17811 17982 26973 35622 53433 53946 73223 106866 146446 160299 219669 320598 439338 480897 659007 961794 1318014 1442691 1977021 2885382 3954042 5931063 11862126 17793189 35586378 53379567 106759134