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106035075 = 345252363
BaseRepresentation
bin1100101000111…
…11011110000011
321101112010210000
412110133132003
5204121110300
614304411043
72425166106
oct624373603
9241463700
10106035075
11549437a3
122b616a83
1318c77763
141012273d
159497c00
hex651f783

106035075 has 30 divisors (see below), whose sum is σ = 196417364. Its totient is φ = 56550960.

The previous prime is 106034993. The next prime is 106035079. The reversal of 106035075 is 570530601.

106035075 is a `hidden beast` number, since 1 + 0 + 603 + 50 + 7 + 5 = 666.

It is not a de Polignac number, because 106035075 - 211 = 106033027 is a prime.

It is a super-2 number, since 2×1060350752 = 22486874260511250, which contains 22 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (106035079) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 24157 + ... + 28206.

Almost surely, 2106035075 is an apocalyptic number.

106035075 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

106035075 is a deficient number, since it is larger than the sum of its proper divisors (90382289).

106035075 is an equidigital number, since it uses as much as digits as its factorization.

106035075 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52385 (or 52371 counting only the distinct ones).

The product of its (nonzero) digits is 3150, while the sum is 27.

The square root of 106035075 is about 10297.3333926799. Note that the first 4 decimals coincide. The cubic root of 106035075 is about 473.3145436016.

Adding to 106035075 its reverse (570530601), we get a palindrome (676565676).

The spelling of 106035075 in words is "one hundred six million, thirty-five thousand, seventy-five".

Divisors: 1 3 5 9 15 25 27 45 75 81 135 225 405 675 2025 52363 157089 261815 471267 785445 1309075 1413801 2356335 3927225 4241403 7069005 11781675 21207015 35345025 106035075