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106800121 = 1941472917
BaseRepresentation
bin1100101110110…
…10001111111001
321102222000020001
412113122033321
5204320100441
614333033001
72434533421
oct627321771
9242860201
10106800121
115531656a
122b925761
1319184a4c
1410281481
159599731
hex65da3f9

106800121 has 16 divisors (see below), whose sum is σ = 117653760. Its totient is φ = 96577920.

The previous prime is 106800119. The next prime is 106800143. The reversal of 106800121 is 121008601.

It is a cyclic number.

It is not a de Polignac number, because 106800121 - 21 = 106800119 is a prime.

It is a super-2 number, since 2×1068001212 = 22812531691229282, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (106800151) 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 15 ways as a sum of consecutive naturals, for example, 35155 + ... + 38071.

It is an arithmetic number, because the mean of its divisors is an integer number (7353360).

Almost surely, 2106800121 is an apocalyptic number.

It is an amenable number.

106800121 is a deficient number, since it is larger than the sum of its proper divisors (10853639).

106800121 is a wasteful number, since it uses less digits than its factorization.

106800121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3024.

The product of its (nonzero) digits is 96, while the sum is 19.

The square root of 106800121 is about 10334.4144004390. The cubic root of 106800121 is about 474.4501426812.

Adding to 106800121 its reverse (121008601), we get a palindrome (227808722).

The spelling of 106800121 in words is "one hundred six million, eight hundred thousand, one hundred twenty-one".

Divisors: 1 19 41 47 779 893 1927 2917 36613 55423 119597 137099 2272343 2604881 5621059 106800121