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10105323104 = 2510110729221
BaseRepresentation
bin10010110100101001…
…01111111001100000
3222002020221121021002
421122110233321200
5131143430314404
64350424051132
7505263554252
oct113224577140
928066847232
1010105323104
1143162118a8
121b60303aa8
13c50775b36
146bc13bcd2
153e2264c1e
hex25a52fe60

10105323104 has 48 divisors (see below), whose sum is σ = 20280301776. Its totient is φ = 4955712000.

The previous prime is 10105323103. The next prime is 10105323119. The reversal of 10105323104 is 40132350101.

10105323104 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10105323103) 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, 331214 + ... + 360434.

It is an arithmetic number, because the mean of its divisors is an integer number (422506287).

Almost surely, 210105323104 is an apocalyptic number.

It is an amenable number.

10105323104 is an abundant number, since it is smaller than the sum of its proper divisors (10174978672).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10105323104 is a wasteful number, since it uses less digits than its factorization.

10105323104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29439 (or 29431 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 20.

Adding to 10105323104 its reverse (40132350101), we get a palindrome (50237673205).

The spelling of 10105323104 in words is "ten billion, one hundred five million, three hundred twenty-three thousand, one hundred four".

Divisors: 1 2 4 8 16 32 101 107 202 214 404 428 808 856 1616 1712 3232 3424 10807 21614 29221 43228 58442 86456 116884 172912 233768 345824 467536 935072 2951321 3126647 5902642 6253294 11805284 12506588 23610568 25013176 47221136 50026352 94442272 100052704 315791347 631582694 1263165388 2526330776 5052661552 10105323104