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106003053 = 331331787
BaseRepresentation
bin1100101000101…
…11101001101101
321101110111212000
412110113221231
5204114044203
614304002513
72425003542
oct624275155
9241414760
10106003053
1154921732
122b600439
1318c66000
1410114bc9
15948d4a3
hex6517a6d

106003053 has 32 divisors (see below), whose sum is σ = 170217600. Its totient is φ = 65196144.

The previous prime is 106003019. The next prime is 106003061. The reversal of 106003053 is 350300601.

106003053 is a `hidden beast` number, since 10 + 600 + 3 + 0 + 53 = 666.

It is not a de Polignac number, because 106003053 - 28 = 106002797 is a prime.

It is a super-2 number, since 2×1060030532 = 22473294490641618, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106003003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 58426 + ... + 60212.

It is an arithmetic number, because the mean of its divisors is an integer number (5319300).

Almost surely, 2106003053 is an apocalyptic number.

106003053 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

106003053 is a deficient number, since it is larger than the sum of its proper divisors (64214547).

106003053 is an equidigital number, since it uses as much as digits as its factorization.

106003053 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1835 (or 1803 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 18.

The square root of 106003053 is about 10295.7784067063. The cubic root of 106003053 is about 473.2668926889.

Adding to 106003053 its reverse (350300601), we get a palindrome (456303654).

The spelling of 106003053 in words is "one hundred six million, three thousand, fifty-three".

Divisors: 1 3 9 13 27 39 117 169 351 507 1521 1787 2197 4563 5361 6591 16083 19773 23231 48249 59319 69693 209079 302003 627237 906009 2718027 3926039 8154081 11778117 35334351 106003053