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106733275 = 52111372833
BaseRepresentation
bin1100101110010…
…01111011011011
321102211121112021
412113021323123
5204310431100
614331355311
72434134505
oct627117333
9242747467
10106733275
1155280320
122b8b2b37
13191604ac
1410264d75
159584a1a
hex65c9edb

106733275 has 24 divisors (see below), whose sum is σ = 145486224. Its totient is φ = 77030400.

The previous prime is 106733273. The next prime is 106733281. The reversal of 106733275 is 572337601.

It is not a de Polignac number, because 106733275 - 21 = 106733273 is a prime.

It is a super-2 number, since 2×1067332752 = 22783983984451250, which contains 22 as substring.

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 106733275.

It is not an unprimeable number, because it can be changed into a prime (106733273) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 36259 + ... + 39091.

It is an arithmetic number, because the mean of its divisors is an integer number (6061926).

Almost surely, 2106733275 is an apocalyptic number.

106733275 is a deficient number, since it is larger than the sum of its proper divisors (38752949).

106733275 is a wasteful number, since it uses less digits than its factorization.

106733275 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2991 (or 2986 counting only the distinct ones).

The product of its (nonzero) digits is 26460, while the sum is 34.

The square root of 106733275 is about 10331.1797487025. The cubic root of 106733275 is about 474.3511361975.

The spelling of 106733275 in words is "one hundred six million, seven hundred thirty-three thousand, two hundred seventy-five".

Divisors: 1 5 11 25 55 137 275 685 1507 2833 3425 7535 14165 31163 37675 70825 155815 388121 779075 1940605 4269331 9703025 21346655 106733275