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107136 = 273331
BaseRepresentation
bin11010001010000000
312102222000
4122022000
511412021
62144000
7624231
oct321200
9172860
10107136
1173547
1252000
13399c3
142b088
1521b26
hex1a280

107136 has 64 divisors (see below), whose sum is σ = 326400. Its totient is φ = 34560.

The previous prime is 107123. The next prime is 107137. The reversal of 107136 is 631701.

107136 = T25 + T26 + ... + T86.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×1071362 = 22956244992, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nialpdrome in base 12.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 107136.

It is not an unprimeable number, because it can be changed into a prime (107137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3441 + ... + 3471.

It is an arithmetic number, because the mean of its divisors is an integer number (5100).

2107136 is an apocalyptic number.

107136 is a gapful number since it is divisible by the number (16) 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 107136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163200).

107136 is an abundant number, since it is smaller than the sum of its proper divisors (219264).

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

107136 is an equidigital number, since it uses as much as digits as its factorization.

107136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 126, while the sum is 18.

The square root of 107136 is about 327.3163607277. The cubic root of 107136 is about 47.4946993162.

Adding to 107136 its reverse (631701), we get a palindrome (738837).

It can be divided in two parts, 107 and 136, that added together give a 5-th power (243 = 35).

The spelling of 107136 in words is "one hundred seven thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 31 32 36 48 54 62 64 72 93 96 108 124 128 144 186 192 216 248 279 288 372 384 432 496 558 576 744 837 864 992 1116 1152 1488 1674 1728 1984 2232 2976 3348 3456 3968 4464 5952 6696 8928 11904 13392 17856 26784 35712 53568 107136