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105614641 = 1116757493
BaseRepresentation
bin1100100101110…
…00110100110001
321100201210001101
412102320310301
5204014132031
614251404401
72421465256
oct622706461
9240653041
10105614641
1154686930
122b453701
1318b5b292
141005342d
159413361
hex64b8d31

105614641 has 8 divisors (see below), whose sum is σ = 115907904. Its totient is φ = 95436720.

The previous prime is 105614633. The next prime is 105614653. The reversal of 105614641 is 146416501.

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 105614641 - 23 = 105614633 is a prime.

It is a super-2 number, since 2×1056146412 = 22308904787117762, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (105614681) 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, 26910 + ... + 30583.

It is an arithmetic number, because the mean of its divisors is an integer number (14488488).

Almost surely, 2105614641 is an apocalyptic number.

105614641 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

105614641 is a deficient number, since it is larger than the sum of its proper divisors (10293263).

105614641 is a wasteful number, since it uses less digits than its factorization.

105614641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57671.

The product of its (nonzero) digits is 2880, while the sum is 28.

The square root of 105614641 is about 10276.8984134319. The cubic root of 105614641 is about 472.6881435819.

The spelling of 105614641 in words is "one hundred five million, six hundred fourteen thousand, six hundred forty-one".

Divisors: 1 11 167 1837 57493 632423 9601331 105614641