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106303266 = 235534127
BaseRepresentation
bin1100101011000…
…00111100100010
321102000202200000
412111200330202
5204203201031
614314240430
72430364026
oct625407442
9242022600
10106303266
1155007243
122b726116
131903c854
1410192386
1594ec3e6
hex6560f22

106303266 has 48 divisors (see below), whose sum is σ = 243419904. Its totient is φ = 34757424.

The previous prime is 106303243. The next prime is 106303279. The reversal of 106303266 is 662303601.

106303266 is a `hidden beast` number, since 1 + 0 + 630 + 3 + 26 + 6 = 666.

It is a super-2 number, since 2×1063032662 = 22600768724533512, 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 an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23695 + ... + 27821.

It is an arithmetic number, because the mean of its divisors is an integer number (5071248).

Almost surely, 2106303266 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106303266, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121709952).

106303266 is an abundant number, since it is smaller than the sum of its proper divisors (137116638).

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

106303266 is an equidigital number, since it uses as much as digits as its factorization.

106303266 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4197 (or 4185 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

The square root of 106303266 is about 10310.3475208162. The cubic root of 106303266 is about 473.7132539034.

Adding to 106303266 its reverse (662303601), we get a palindrome (768606867).

The spelling of 106303266 in words is "one hundred six million, three hundred three thousand, two hundred sixty-six".

Divisors: 1 2 3 6 9 18 27 53 54 81 106 159 162 243 318 477 486 954 1431 2862 4127 4293 8254 8586 12381 12879 24762 25758 37143 74286 111429 218731 222858 334287 437462 656193 668574 1002861 1312386 1968579 2005722 3937158 5905737 11811474 17717211 35434422 53151633 106303266