Search a number
-
+
108560365225 = 521323721372
BaseRepresentation
bin110010100011010110…
…0111011011010101001
3101101012202110221201121
41211012230323122221
53234312423141400
6121512201215241
710562140610344
oct1450654733251
9341182427647
10108560365225
1142049550204
1219058791521
13a311181c00
14537bd1545b
152c55a2421a
hex1946b3b6a9

108560365225 has 81 divisors (see below), whose sum is σ = 150913991277. Its totient is φ = 77431610880.

The previous prime is 108560365213. The next prime is 108560365237. The reversal of 108560365225 is 522563065801.

The square root of 108560365225 is 329485.

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

It is an interprime number because it is at equal distance from previous prime (108560365213) and next prime (108560365237).

It can be written as a sum of positive squares in 40 ways, for example, as 108548504089 + 11861136 = 329467^2 + 3444^2 .

It is not a de Polignac number, because 108560365225 - 29 = 108560364713 is a prime.

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, 792411357 + ... + 792411493.

Almost surely, 2108560365225 is an apocalyptic number.

108560365225 is the 329485-th square number.

108560365225 is the 164743-rd centered octagonal number.

It is an amenable number.

108560365225 is a deficient number, since it is larger than the sum of its proper divisors (42353626052).

108560365225 is an equidigital number, since it uses as much as digits as its factorization.

108560365225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 384 (or 192 counting only the distinct ones).

The product of its (nonzero) digits is 432000, while the sum is 43.

The spelling of 108560365225 in words is "one hundred eight billion, five hundred sixty million, three hundred sixty-five thousand, two hundred twenty-five".

Divisors: 1 5 13 25 37 65 137 169 185 325 481 685 845 925 1369 1781 2405 3425 4225 5069 6253 6845 8905 12025 17797 18769 23153 25345 31265 34225 44525 65897 88985 93845 115765 126725 156325 187553 231361 243997 329485 444925 469225 578825 694453 856661 937765 1156805 1219985 1647425 2438189 3171961 3472265 4283305 4688825 5784025 6099925 9027889 12190945 15859805 17361325 21416525 25694761 31696457 45139445 60954725 79299025 117362557 128473805 158482285 225697225 334031893 586812785 642369025 792411425 1670159465 2934063925 4342414609 8350797325 21712073045 108560365225