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105661617 = 335220539
BaseRepresentation
bin1100100110001…
…00010010110001
321100211011111020
412103010102301
5204022132432
614252410053
72422052235
oct623042261
9240734436
10105661617
1154709156
122b476929
1318b76789
14100665c5
15942222c
hex64c44b1

105661617 has 4 divisors (see below), whose sum is σ = 140882160. Its totient is φ = 70441076.

The previous prime is 105661597. The next prime is 105661627. The reversal of 105661617 is 716166501.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 105661617 - 26 = 105661553 is a prime.

It is a super-2 number, since 2×1056616172 = 22328754614109378, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105661627) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 17610267 + ... + 17610272.

It is an arithmetic number, because the mean of its divisors is an integer number (35220540).

Almost surely, 2105661617 is an apocalyptic number.

It is an amenable number.

105661617 is a deficient number, since it is larger than the sum of its proper divisors (35220543).

105661617 is an equidigital number, since it uses as much as digits as its factorization.

105661617 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35220542.

The product of its (nonzero) digits is 7560, while the sum is 33.

The square root of 105661617 is about 10279.1836738138. The cubic root of 105661617 is about 472.7582150122.

The spelling of 105661617 in words is "one hundred five million, six hundred sixty-one thousand, six hundred seventeen".

Divisors: 1 3 35220539 105661617