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11105125 = 53731217
BaseRepresentation
bin101010010111…
…001101100101
3202220012100221
4222113031211
510320331000
61034004341
7163251313
oct52271545
922805327
1011105125
1162a5499
1238766b1
1323ba8a5
1416910b3
15e9561a
hexa97365

11105125 has 16 divisors (see below), whose sum is σ = 14060592. Its totient is φ = 8755200.

The previous prime is 11105123. The next prime is 11105147. The reversal of 11105125 is 52150111.

It can be written as a sum of positive squares in 8 ways, for example, as 4124961 + 6980164 = 2031^2 + 2642^2 .

It is not a de Polignac number, because 11105125 - 21 = 11105123 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 11105099 and 11105108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11105123) 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 15 ways as a sum of consecutive naturals, for example, 8517 + ... + 9733.

It is an arithmetic number, because the mean of its divisors is an integer number (878787).

Almost surely, 211105125 is an apocalyptic number.

It is an amenable number.

11105125 is a deficient number, since it is larger than the sum of its proper divisors (2955467).

11105125 is an equidigital number, since it uses as much as digits as its factorization.

11105125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1305 (or 1295 counting only the distinct ones).

The product of its (nonzero) digits is 50, while the sum is 16.

The square root of 11105125 is about 3332.4352956959. The cubic root of 11105125 is about 223.1042364953.

Adding to 11105125 its reverse (52150111), we get a palindrome (63255236).

The spelling of 11105125 in words is "eleven million, one hundred five thousand, one hundred twenty-five".

Divisors: 1 5 25 73 125 365 1217 1825 6085 9125 30425 88841 152125 444205 2221025 11105125