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10105305521 = 421100923789
BaseRepresentation
bin10010110100101001…
…01011100110110001
3222002020220201010212
421122110223212301
5131143424234041
64350423433505
7505263452063
oct113224534661
928066821125
1010105305521
1143161aa673
121b602b5895
13c5076ab2c
146bc135733
153e225e8eb
hex25a52b9b1

10105305521 has 8 divisors (see below), whose sum is σ = 10139773800. Its totient is φ = 10070887680.

The previous prime is 10105305517. The next prime is 10105305523. The reversal of 10105305521 is 12550350101.

It is a happy number.

10105305521 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 571735921 + 9533569600 = 23911^2 + 97640^2 .

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 10105305521 - 22 = 10105305517 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10105305523) 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, 412895 + ... + 436683.

It is an arithmetic number, because the mean of its divisors is an integer number (1267471725).

Almost surely, 210105305521 is an apocalyptic number.

It is an amenable number.

10105305521 is a deficient number, since it is larger than the sum of its proper divisors (34468279).

10105305521 is a wasteful number, since it uses less digits than its factorization.

10105305521 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25219.

The product of its (nonzero) digits is 750, while the sum is 23.

Adding to 10105305521 its reverse (12550350101), we get a palindrome (22655655622).

The spelling of 10105305521 in words is "ten billion, one hundred five million, three hundred five thousand, five hundred twenty-one".

Divisors: 1 421 1009 23789 424789 10015169 24003101 10105305521