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106643641 = 1311876911
BaseRepresentation
bin1100101101101…
…00000010111001
321102200001120111
412112310002321
5204300044031
614325424321
72433312256
oct626640271
9242601514
10106643641
1155219a45
122b86b0a1
131912b760
141024042d
1595681b1
hex65b40b9

106643641 has 8 divisors (see below), whose sum is σ = 114960384. Its totient is φ = 98343120.

The previous prime is 106643639. The next prime is 106643651. The reversal of 106643641 is 146346601.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 106643641 - 21 = 106643639 is a prime.

It is a super-2 number, since 2×1066436412 = 22745732331473762, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (106643651) 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 7 ways as a sum of consecutive naturals, for example, 11976 + ... + 18886.

It is an arithmetic number, because the mean of its divisors is an integer number (14370048).

Almost surely, 2106643641 is an apocalyptic number.

It is an amenable number.

106643641 is a deficient number, since it is larger than the sum of its proper divisors (8316743).

106643641 is a wasteful number, since it uses less digits than its factorization.

106643641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8111.

The product of its (nonzero) digits is 10368, while the sum is 31.

The square root of 106643641 is about 10326.8408044280. The cubic root of 106643641 is about 474.2183132097.

The spelling of 106643641 in words is "one hundred six million, six hundred forty-three thousand, six hundred forty-one".

Divisors: 1 13 1187 6911 15431 89843 8203357 106643641