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105044435401 = 3891229219721
BaseRepresentation
bin110000111010100100…
…0101110000111001001
3101001010201122012201111
41201311020232013021
53210112333413101
6120131242450321
710406045653153
oct1416510560711
9331121565644
10105044435401
1140604933084
12184372039a1
139ba0928969
145126dabad3
152aec01c251
hex187522e1c9

105044435401 has 8 divisors (see below), whose sum is σ = 105400643400. Its totient is φ = 104688670080.

The previous prime is 105044435399. The next prime is 105044435423. The reversal of 105044435401 is 104534440501.

It can be written as a sum of positive squares in 4 ways, for example, as 20235347001 + 84809088400 = 142251^2 + 291220^2 .

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 105044435401 - 21 = 105044435399 is a prime.

It is a super-3 number, since 3×1050444354013 (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (105044435491) 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 7 ways as a sum of consecutive naturals, for example, 368221 + ... + 587941.

It is an arithmetic number, because the mean of its divisors is an integer number (13175080425).

Almost surely, 2105044435401 is an apocalyptic number.

It is an amenable number.

105044435401 is a deficient number, since it is larger than the sum of its proper divisors (356207999).

105044435401 is a wasteful number, since it uses less digits than its factorization.

105044435401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221339.

The product of its (nonzero) digits is 19200, while the sum is 31.

Adding to 105044435401 its reverse (104534440501), we get a palindrome (209578875902).

The spelling of 105044435401 in words is "one hundred five billion, forty-four million, four hundred thirty-five thousand, four hundred one".

Divisors: 1 389 1229 219721 478081 85471469 270037109 105044435401