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1080108225 = 3252723132
BaseRepresentation
bin100000001100001…
…0010010011000001
32210021102011221100
41000120102103001
54203001430400
6255102245013
735523524400
oct10030222301
92707364840
101080108225
11504769329
12261886769
13142a078c1
14a3641637
1564c57100
hex406124c1

1080108225 has 81 divisors (see below), whose sum is σ = 2257658793. Its totient is φ = 492186240.

The previous prime is 1080108193. The next prime is 1080108283. The reversal of 1080108225 is 5228010801.

The square root of 1080108225 is 32865.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 606784689 + 473323536 = 24633^2 + 21756^2 .

It is not a de Polignac number, because 1080108225 - 25 = 1080108193 is a prime.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 3450669 + ... + 3450981.

Almost surely, 21080108225 is an apocalyptic number.

1080108225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

1080108225 is the 32865-th square number.

1080108225 is the 16433-rd centered octagonal number.

It is an amenable number.

1080108225 is an abundant number, since it is smaller than the sum of its proper divisors (1177550568).

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

1080108225 is an equidigital number, since it uses as much as digits as its factorization.

1080108225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 656 (or 328 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 27.

The cubic root of 1080108225 is about 1026.0198376293.

The spelling of 1080108225 in words is "one billion, eighty million, one hundred eight thousand, two hundred twenty-five".

Divisors: 1 3 5 7 9 15 21 25 35 45 49 63 75 105 147 175 225 245 313 315 441 525 735 939 1225 1565 1575 2191 2205 2817 3675 4695 6573 7825 10955 11025 14085 15337 19719 23475 32865 46011 54775 70425 76685 97969 98595 138033 164325 230055 293907 383425 489845 492975 685783 690165 881721 1150275 1469535 2057349 2449225 3428915 3450825 4408605 4800481 6172047 7347675 10286745 14401443 17144575 22043025 24002405 30860235 43204329 51433725 72007215 120012025 154301175 216021645 360036075 1080108225