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108264031225 = 5274172792
BaseRepresentation
bin110010011010100001…
…0100000001111111001
3101100110002212121220021
41210311002200033321
53233211042444400
6121422533530441
710551612040000
oct1446502401771
9340402777807
10108264031225
1141a07250079
1218b954a3a21
13a29496894c
145350817c37
152c399db71a
hex19350a03f9

108264031225 has 135 divisors (see below), whose sum is σ = 168499636557. Its totient is φ = 68986794240.

The previous prime is 108264031177. The next prime is 108264031231. The reversal of 108264031225 is 522130462801.

The square root of 108264031225 is 329035.

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 2532404329 + 105731626896 = 50323^2 + 325164^2 .

It is not a de Polignac number, because 108264031225 - 211 = 108264029177 is a prime.

It is a super-2 number, since 2×1082640312252 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

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 134 ways as a sum of consecutive naturals, for example, 1370430736 + ... + 1370430814.

Almost surely, 2108264031225 is an apocalyptic number.

108264031225 is the 329035-th square number.

108264031225 is the 164518-th centered octagonal number.

It is an amenable number.

108264031225 is a deficient number, since it is larger than the sum of its proper divisors (60235605332).

108264031225 is an frugal number, since it uses more digits than its factorization.

108264031225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 34.

The spelling of 108264031225 in words is "one hundred eight billion, two hundred sixty-four million, thirty-one thousand, two hundred twenty-five".

Divisors: 1 5 7 17 25 35 49 79 85 119 175 245 289 343 395 425 553 595 833 1225 1343 1445 1715 1975 2023 2401 2765 2975 3871 4165 5831 6241 6715 7225 8575 9401 10115 12005 13825 14161 19355 20825 22831 27097 29155 31205 33575 40817 43687 47005 50575 60025 65807 70805 96775 99127 106097 114155 135485 145775 156025 159817 189679 204085 218435 235025 305809 329035 354025 460649 495635 530485 570775 677425 693889 742679 799085 948395 1020425 1092175 1118719 1529045 1645175 1803649 2140663 2303245 2478175 2652425 3224543 3469445 3713395 3995425 4741975 5198753 5593595 7645225 7831033 9018245 10703315 11516225 12625543 14984641 16122715 17347225 18566975 25993765 27967975 36391271 39155165 45091225 53516575 54817231 63127715 74923205 80613575 88378801 129968825 181956355 195775825 254738897 274086155 315638575 374616025 441894005 618651607 909781775 1273694485 1370430775 2209470025 3093258035 4330561249 6368472425 15466290175 21652806245 108264031225