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106633267 = 1323715023
BaseRepresentation
bin1100101101100…
…01100000110011
321102122112100021
412112301200303
5204244231032
614325304311
72433240106
oct626614063
9242575307
10106633267
1155212174
122b865097
1319126b10
141023a73d
159565097
hex65b1833

106633267 has 16 divisors (see below), whose sum is σ = 121540608. Its totient is φ = 92806560.

The previous prime is 106633259. The next prime is 106633277. The reversal of 106633267 is 762336601.

It is a cyclic number.

It is not a de Polignac number, because 106633267 - 23 = 106633259 is a prime.

It is a super-2 number, since 2×1066332672 = 22741307262186578, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (106633277) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18718 + ... + 23740.

It is an arithmetic number, because the mean of its divisors is an integer number (7596288).

Almost surely, 2106633267 is an apocalyptic number.

106633267 is a deficient number, since it is larger than the sum of its proper divisors (14907341).

106633267 is a wasteful number, since it uses less digits than its factorization.

106633267 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5130.

The product of its (nonzero) digits is 27216, while the sum is 34.

The square root of 106633267 is about 10326.3385088811. The cubic root of 106633267 is about 474.2029358268.

Adding to 106633267 its reverse (762336601), we get a palindrome (868969868).

The spelling of 106633267 in words is "one hundred six million, six hundred thirty-three thousand, two hundred sixty-seven".

Divisors: 1 13 23 71 299 923 1633 5023 21229 65299 115529 356633 1501877 4636229 8202559 106633267