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106035 = 357069
BaseRepresentation
bin11001111000110011
312101110020
4121320303
511343120
62134523
7621066
oct317063
9171406
10106035
1172736
1251443
1339357
142a8dd
1521640
hex19e33

106035 has 8 divisors (see below), whose sum is σ = 169680. Its totient is φ = 56544.

The previous prime is 106033. The next prime is 106087. The reversal of 106035 is 530601.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 106035 - 21 = 106033 is a prime.

It is a super-2 number, since 2×1060352 = 22486842450, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15), and also a Moran number because the ratio is a prime number: 7069 = 106035 / (1 + 0 + 6 + 0 + 3 + 5).

It is a zygodrome in base 2.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 106035.

It is not an unprimeable number, because it can be changed into a prime (106031) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3520 + ... + 3549.

It is an arithmetic number, because the mean of its divisors is an integer number (21210).

2106035 is an apocalyptic number.

106035 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

106035 is a deficient number, since it is larger than the sum of its proper divisors (63645).

106035 is an equidigital number, since it uses as much as digits as its factorization.

106035 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7077.

The product of its (nonzero) digits is 90, while the sum is 15.

The square root of 106035 is about 325.6301583085. The cubic root of 106035 is about 47.3314432008.

Adding to 106035 its reverse (530601), we get a palindrome (636636).

The spelling of 106035 in words is "one hundred six thousand, thirty-five".

Divisors: 1 3 5 15 7069 21207 35345 106035