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106800363 = 343142533
BaseRepresentation
bin1100101110110…
…10010011101011
321102222000120000
412113122103223
5204320102423
614333034043
72434534215
oct627322353
9242860500
10106800363
115531676a
122b925923
1319184ba7
14102815b5
159599843
hex65da4eb

106800363 has 20 divisors (see below), whose sum is σ = 164691648. Its totient is φ = 68901840.

The previous prime is 106800319. The next prime is 106800373. The reversal of 106800363 is 363008601.

It is not a de Polignac number, because 106800363 - 28 = 106800107 is a prime.

It is a super-2 number, since 2×1068003632 = 22812635073863538, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (106800313) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 18756 + ... + 23777.

Almost surely, 2106800363 is an apocalyptic number.

106800363 is a deficient number, since it is larger than the sum of its proper divisors (57891285).

106800363 is an equidigital number, since it uses as much as digits as its factorization.

106800363 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42576 (or 42567 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 106800363 is about 10334.4261088848. The cubic root of 106800363 is about 474.4505010355.

Adding to 106800363 its reverse (363008601), we get a palindrome (469808964).

The spelling of 106800363 in words is "one hundred six million, eight hundred thousand, three hundred sixty-three".

Divisors: 1 3 9 27 31 81 93 279 837 2511 42533 127599 382797 1148391 1318523 3445173 3955569 11866707 35600121 106800363