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105105354141 = 374609469583
BaseRepresentation
bin110000111100011000…
…1000110110110011101
3101001021222021012112010
41201320301012312131
53210223432313031
6120141300301433
710410415524624
oct1417061066635
9331258235463
10105105354141
1140636261247
12184536a1879
139bb0437b58
1451311086bb
152b02552246
hex1878c46d9d

105105354141 has 8 divisors (see below), whose sum is σ = 140142648960. Its totient is φ = 70069147712.

The previous prime is 105105354127. The next prime is 105105354149. The reversal of 105105354141 is 141453501501.

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 105105354141 - 29 = 105105353629 is a prime.

It is a super-4 number, since 4×1051053541414 (a number of 45 digits) contains 4444 as substring. Note that it is a super-d number also for d = 3, 2.

It is a junction number, because it is equal to n+sod(n) for n = 105105354099 and 105105354108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105105354149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10965 + ... + 458618.

It is an arithmetic number, because the mean of its divisors is an integer number (17517831120).

Almost surely, 2105105354141 is an apocalyptic number.

It is an amenable number.

105105354141 is a deficient number, since it is larger than the sum of its proper divisors (35037294819).

105105354141 is an equidigital number, since it uses as much as digits as its factorization.

105105354141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 544195.

The product of its (nonzero) digits is 6000, while the sum is 30.

Adding to 105105354141 its reverse (141453501501), we get a palindrome (246558855642).

The spelling of 105105354141 in words is "one hundred five billion, one hundred five million, three hundred fifty-four thousand, one hundred forty-one".

Divisors: 1 3 74609 223827 469583 1408749 35035118047 105105354141